#PCA

library(readr)
## Warning: package 'readr' was built under R version 4.2.2
Diabetes <- read_csv("C:/Users/vidhi/Downloads/Diabetes.csv")
## Rows: 499 Columns: 16
## ── Column specification ────────────────────────────────────────────────────────
## Delimiter: ","
## dbl (16): Diabetes_binary, HighBP, BMI, Smoker, Stroke, HeartDiseaseorAttack...
## 
## ℹ Use `spec()` to retrieve the full column specification for this data.
## ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.
str(Diabetes)
## spc_tbl_ [499 × 16] (S3: spec_tbl_df/tbl_df/tbl/data.frame)
##  $ Diabetes_binary     : num [1:499] 0 0 0 0 0 0 0 0 0 0 ...
##  $ HighBP              : num [1:499] 1 1 0 1 0 0 0 0 0 0 ...
##  $ BMI                 : num [1:499] 26 26 26 28 29 18 26 31 32 27 ...
##  $ Smoker              : num [1:499] 0 1 0 1 1 0 1 1 0 1 ...
##  $ Stroke              : num [1:499] 0 1 0 0 0 0 0 0 0 0 ...
##  $ HeartDiseaseorAttack: num [1:499] 0 0 0 0 0 0 0 0 0 0 ...
##  $ PhysActivity        : num [1:499] 1 0 1 1 1 1 1 0 1 0 ...
##  $ HvyAlcoholConsump   : num [1:499] 0 0 0 0 0 0 1 0 0 0 ...
##  $ AnyHealthcare       : num [1:499] 1 1 1 1 1 0 1 1 1 1 ...
##  $ GenHlth             : num [1:499] 3 3 1 3 2 2 1 4 3 3 ...
##  $ MentHlth            : num [1:499] 5 0 0 0 0 7 0 0 0 0 ...
##  $ PhysHlth            : num [1:499] 30 0 10 3 0 0 0 0 0 6 ...
##  $ Sex                 : num [1:499] 1 1 1 1 0 0 1 1 0 1 ...
##  $ Age                 : num [1:499] 4 12 13 11 8 1 13 6 3 6 ...
##  $ Education           : num [1:499] 6 6 6 6 5 4 5 4 6 4 ...
##  $ Income              : num [1:499] 8 8 8 8 8 7 6 3 8 4 ...
##  - attr(*, "spec")=
##   .. cols(
##   ..   Diabetes_binary = col_double(),
##   ..   HighBP = col_double(),
##   ..   BMI = col_double(),
##   ..   Smoker = col_double(),
##   ..   Stroke = col_double(),
##   ..   HeartDiseaseorAttack = col_double(),
##   ..   PhysActivity = col_double(),
##   ..   HvyAlcoholConsump = col_double(),
##   ..   AnyHealthcare = col_double(),
##   ..   GenHlth = col_double(),
##   ..   MentHlth = col_double(),
##   ..   PhysHlth = col_double(),
##   ..   Sex = col_double(),
##   ..   Age = col_double(),
##   ..   Education = col_double(),
##   ..   Income = col_double()
##   .. )
##  - attr(*, "problems")=<externalptr>
attach(Diabetes)
#Get the Correlations between the measurements
cor(Diabetes[-1])
##                           HighBP          BMI       Smoker       Stroke
## HighBP                1.00000000  0.233271793  0.108150142  0.139773759
## BMI                   0.23327179  1.000000000 -0.004787471 -0.011000074
## Smoker                0.10815014 -0.004787471  1.000000000  0.052092579
## Stroke                0.13977376 -0.011000074  0.052092579  1.000000000
## HeartDiseaseorAttack  0.22312155  0.012686820  0.119860406  0.276533735
## PhysActivity         -0.22528737 -0.168441268 -0.034178518 -0.162200293
## HvyAlcoholConsump    -0.06488317 -0.056167322 -0.009391152 -0.028663382
## AnyHealthcare         0.05882816 -0.041330743  0.088752999  0.008162259
## GenHlth               0.35557676  0.211886204  0.074763071  0.224151365
## MentHlth              0.08743711  0.032942930  0.070468055  0.075523810
## PhysHlth              0.20258590  0.105688914  0.049562115  0.101010215
## Sex                   0.01637975  0.005781638  0.224511262 -0.057620191
## Age                   0.37500670 -0.038694836  0.116498093  0.161249367
## Education            -0.19448405 -0.079893598 -0.079338228 -0.101153950
## Income               -0.26234141 -0.187270089 -0.034880281 -0.163056610
##                      HeartDiseaseorAttack PhysActivity HvyAlcoholConsump
## HighBP                         0.22312155 -0.225287373     -6.488317e-02
## BMI                            0.01268682 -0.168441268     -5.616732e-02
## Smoker                         0.11986041 -0.034178518     -9.391152e-03
## Stroke                         0.27653374 -0.162200293     -2.866338e-02
## HeartDiseaseorAttack           1.00000000 -0.150980692     -4.093643e-02
## PhysActivity                  -0.15098069  1.000000000      7.996783e-02
## HvyAlcoholConsump             -0.04093643  0.079967829      1.000000e+00
## AnyHealthcare                  0.03395736  0.031795902      9.385514e-05
## GenHlth                        0.19615977 -0.379321077     -6.205083e-02
## MentHlth                       0.12917621 -0.040328200     -5.396165e-02
## PhysHlth                       0.17196970 -0.261733132      7.016984e-03
## Sex                            0.07220510 -0.009239187      2.051390e-02
## Age                            0.25375827 -0.156053093     -7.372583e-02
## Education                     -0.11321236  0.164071035      4.990137e-02
## Income                        -0.14008962  0.216307611      1.337161e-01
##                      AnyHealthcare     GenHlth    MentHlth     PhysHlth
## HighBP                5.882816e-02  0.35557676  0.08743711  0.202585896
## BMI                  -4.133074e-02  0.21188620  0.03294293  0.105688914
## Smoker                8.875300e-02  0.07476307  0.07046806  0.049562115
## Stroke                8.162259e-03  0.22415136  0.07552381  0.101010215
## HeartDiseaseorAttack  3.395736e-02  0.19615977  0.12917621  0.171969705
## PhysActivity          3.179590e-02 -0.37932108 -0.04032820 -0.261733132
## HvyAlcoholConsump     9.385514e-05 -0.06205083 -0.05396165  0.007016984
## AnyHealthcare         1.000000e+00  0.01257727 -0.06726467  0.031280608
## GenHlth               1.257727e-02  1.00000000  0.33041478  0.584650724
## MentHlth             -6.726467e-02  0.33041478  1.00000000  0.338184198
## PhysHlth              3.128061e-02  0.58465072  0.33818420  1.000000000
## Sex                   3.786612e-02 -0.08690804 -0.09924688 -0.019238921
## Age                   1.635280e-01  0.13828098 -0.07820728  0.072200137
## Education             6.300604e-02 -0.33101626 -0.18108729 -0.218929319
## Income                6.090343e-02 -0.37372824 -0.21009823 -0.238328433
##                               Sex         Age   Education      Income
## HighBP                0.016379754  0.37500670 -0.19448405 -0.26234141
## BMI                   0.005781638 -0.03869484 -0.07989360 -0.18727009
## Smoker                0.224511262  0.11649809 -0.07933823 -0.03488028
## Stroke               -0.057620191  0.16124937 -0.10115395 -0.16305661
## HeartDiseaseorAttack  0.072205097  0.25375827 -0.11321236 -0.14008962
## PhysActivity         -0.009239187 -0.15605309  0.16407104  0.21630761
## HvyAlcoholConsump     0.020513896 -0.07372583  0.04990137  0.13371609
## AnyHealthcare         0.037866116  0.16352805  0.06300604  0.06090343
## GenHlth              -0.086908042  0.13828098 -0.33101626 -0.37372824
## MentHlth             -0.099246879 -0.07820728 -0.18108729 -0.21009823
## PhysHlth             -0.019238921  0.07220014 -0.21892932 -0.23832843
## Sex                   1.000000000  0.04056516  0.13689969  0.26633655
## Age                   0.040565156  1.00000000 -0.13640669 -0.18016706
## Education             0.136899685 -0.13640669  1.00000000  0.50844063
## Income                0.266336551 -0.18016706  0.50844063  1.00000000
# Using prcomp to compute the principal components (eigenvalues and eigenvectors). With scale=TRUE, variable means are set to zero, and variances set to one
Diabetes_pca <- prcomp(Diabetes[,-1],scale=TRUE)
Diabetes_pca
## Standard deviations (1, .., p=15):
##  [1] 1.7646922 1.2540627 1.1146446 1.0754771 1.0188832 1.0093606 0.9816263
##  [8] 0.9187490 0.9010750 0.8355400 0.8071737 0.7555477 0.7203929 0.6639907
## [15] 0.5976521
## 
## Rotation (n x k) = (15 x 15):
##                               PC1          PC2         PC3         PC4
## HighBP                0.326149229  0.246399261 -0.13303779 -0.26080449
## BMI                   0.167626995 -0.101839483  0.04120408 -0.66482697
## Smoker                0.093333990  0.350190124  0.28938167  0.05229281
## Stroke                0.211842691  0.162241675 -0.13665199  0.37073969
## HeartDiseaseorAttack  0.239087419  0.316667386  0.01177870  0.29208452
## PhysActivity         -0.291085313 -0.057618287 -0.03361984  0.27464859
## HvyAlcoholConsump    -0.090283959 -0.002662284  0.24257599  0.16136839
## AnyHealthcare         0.005143826  0.329295696 -0.02590574  0.07389193
## GenHlth               0.440430257 -0.097915017  0.22701840 -0.03692534
## MentHlth              0.233893964 -0.265986788  0.38061240  0.30151528
## PhysHlth              0.349300603 -0.111540622  0.41669288  0.06206433
## Sex                  -0.079777876  0.433715325  0.43256510 -0.22683585
## Age                   0.212579671  0.450806495 -0.35680625  0.04305580
## Education            -0.320398143  0.186484273  0.19327836 -0.08877913
## Income               -0.370084452  0.221427867  0.30917390 -0.01554688
##                               PC5         PC6         PC7           PC8
## HighBP               -0.008269941 -0.10906402 -0.09655581 -0.2698343702
## BMI                  -0.071433125  0.03572986 -0.05743480 -0.5231458782
## Smoker                0.550101274  0.17628365 -0.18612003  0.0120565846
## Stroke               -0.401701344  0.27739720  0.01466837 -0.1542399862
## HeartDiseaseorAttack -0.195132878  0.27008153  0.01483961 -0.3002428568
## PhysActivity          0.342307829 -0.09372920 -0.03906327 -0.5642317955
## HvyAlcoholConsump    -0.283092530 -0.37582616 -0.79934851 -0.0963949484
## AnyHealthcare         0.129072603 -0.70109968  0.33836227 -0.0857513055
## GenHlth              -0.114296874 -0.13677232  0.07770650  0.1028945455
## MentHlth              0.182407069  0.04554311  0.21335985 -0.3036853105
## PhysHlth             -0.112870068 -0.23770044  0.12456154  0.1647823988
## Sex                   0.096176135  0.25417875 -0.06652457  0.1513946402
## Age                   0.034914264 -0.14596999 -0.05282487  0.0993500168
## Education            -0.380645175 -0.02380269  0.32104021 -0.2041259867
## Income               -0.253703680 -0.02291390  0.14131551 -0.0006541796
##                              PC9         PC10         PC11         PC12
## HighBP               -0.32944063 -0.357349004  0.110808684  0.136294368
## BMI                   0.26013875  0.145731702 -0.029611678 -0.050232966
## Smoker                0.37261357 -0.352592375 -0.321088908 -0.213702039
## Stroke                0.50830550 -0.209563654  0.432075377  0.040035634
## HeartDiseaseorAttack -0.17340541  0.540775940 -0.435655890 -0.140156256
## PhysActivity         -0.19189638  0.027185580  0.410766222 -0.408359237
## HvyAlcoholConsump     0.02699488 -0.003146716 -0.081614107  0.133060848
## AnyHealthcare         0.37486619  0.259043096  0.004676320  0.197339594
## GenHlth               0.02231245 -0.095542371  0.124716063 -0.211497810
## MentHlth             -0.19103418 -0.154036780 -0.068708928  0.590671465
## PhysHlth             -0.14370660  0.044890882  0.116925618 -0.480698849
## Sex                  -0.11572066  0.317028455  0.490189988  0.223919970
## Age                  -0.36258045 -0.171491658  0.025402519 -0.006981887
## Education            -0.06052129 -0.372124247 -0.238667548 -0.115815696
## Income               -0.11077971 -0.138820034 -0.003060682 -0.016800980
##                              PC13        PC14        PC15
## HighBP               -0.585988402 -0.08847753 -0.18655896
## BMI                   0.316706307  0.19736718 -0.05395146
## Smoker               -0.006698845  0.03241176 -0.02610930
## Stroke                0.043461280  0.03579847 -0.12886628
## HeartDiseaseorAttack -0.143795436  0.00484345  0.05542146
## PhysActivity          0.013493987 -0.01277978  0.12707956
## HvyAlcoholConsump     0.073539002 -0.07393938  0.03663940
## AnyHealthcare        -0.086324735 -0.03441972 -0.01159808
## GenHlth              -0.102959393  0.06712893  0.78110078
## MentHlth              0.215903965  0.06667656 -0.02789805
## PhysHlth              0.117119501 -0.04146314 -0.54157819
## Sex                   0.065262372 -0.23117564  0.06108071
## Age                   0.622968346  0.18299730  0.06392318
## Education             0.179008537 -0.52007680  0.11000067
## Income               -0.159175565  0.75892425 -0.01334982
summary(Diabetes_pca)
## Importance of components:
##                           PC1    PC2     PC3     PC4     PC5     PC6     PC7
## Standard deviation     1.7647 1.2541 1.11464 1.07548 1.01888 1.00936 0.98163
## Proportion of Variance 0.2076 0.1048 0.08283 0.07711 0.06921 0.06792 0.06424
## Cumulative Proportion  0.2076 0.3125 0.39528 0.47239 0.54160 0.60952 0.67376
##                            PC8     PC9    PC10    PC11    PC12   PC13    PC14
## Standard deviation     0.91875 0.90107 0.83554 0.80717 0.75555 0.7204 0.66399
## Proportion of Variance 0.05627 0.05413 0.04654 0.04344 0.03806 0.0346 0.02939
## Cumulative Proportion  0.73003 0.78416 0.83071 0.87414 0.91220 0.9468 0.97619
##                           PC15
## Standard deviation     0.59765
## Proportion of Variance 0.02381
## Cumulative Proportion  1.00000
# sample scores stored in Diabetes_pca$x
# singular values (square roots of eigenvalues) stored in sparrow_pca$sdev
# loadings (eigenvectors) are stored in Diabetes_pca$rotation
# variable means stored in Diabetes_pca$center
# variable standard deviations stored in Diabetes_pca$scale
# A table containing eigenvalues and %'s accounted, follows
# Eigenvalues are sdev^2
(eigen_Diabetes <- Diabetes_pca$sdev^2)
##  [1] 3.1141387 1.5726732 1.2424327 1.1566511 1.0381229 1.0188088 0.9635902
##  [8] 0.8440998 0.8119361 0.6981272 0.6515293 0.5708524 0.5189659 0.4408837
## [15] 0.3571881
names(eigen_Diabetes) <- paste("PC",1:15,sep="")
eigen_Diabetes
##       PC1       PC2       PC3       PC4       PC5       PC6       PC7       PC8 
## 3.1141387 1.5726732 1.2424327 1.1566511 1.0381229 1.0188088 0.9635902 0.8440998 
##       PC9      PC10      PC11      PC12      PC13      PC14      PC15 
## 0.8119361 0.6981272 0.6515293 0.5708524 0.5189659 0.4408837 0.3571881
sumlambdas <- sum(eigen_Diabetes)
sumlambdas
## [1] 15
propvar <- eigen_Diabetes/sumlambdas
propvar
##        PC1        PC2        PC3        PC4        PC5        PC6        PC7 
## 0.20760925 0.10484488 0.08282884 0.07711007 0.06920819 0.06792059 0.06423934 
##        PC8        PC9       PC10       PC11       PC12       PC13       PC14 
## 0.05627332 0.05412908 0.04654181 0.04343529 0.03805682 0.03459773 0.02939224 
##       PC15 
## 0.02381254
cumvar_Diabetes <- cumsum(propvar)
cumvar_Diabetes
##       PC1       PC2       PC3       PC4       PC5       PC6       PC7       PC8 
## 0.2076092 0.3124541 0.3952830 0.4723930 0.5416012 0.6095218 0.6737612 0.7300345 
##       PC9      PC10      PC11      PC12      PC13      PC14      PC15 
## 0.7841636 0.8307054 0.8741407 0.9121975 0.9467952 0.9761875 1.0000000
matlambdas <- rbind(eigen_Diabetes,propvar,cumvar_Diabetes)
rownames(matlambdas) <- c("Eigenvalues","Prop. variance","Cum. prop. variance")
round(matlambdas,4)
##                        PC1    PC2    PC3    PC4    PC5    PC6    PC7    PC8
## Eigenvalues         3.1141 1.5727 1.2424 1.1567 1.0381 1.0188 0.9636 0.8441
## Prop. variance      0.2076 0.1048 0.0828 0.0771 0.0692 0.0679 0.0642 0.0563
## Cum. prop. variance 0.2076 0.3125 0.3953 0.4724 0.5416 0.6095 0.6738 0.7300
##                        PC9   PC10   PC11   PC12   PC13   PC14   PC15
## Eigenvalues         0.8119 0.6981 0.6515 0.5709 0.5190 0.4409 0.3572
## Prop. variance      0.0541 0.0465 0.0434 0.0381 0.0346 0.0294 0.0238
## Cum. prop. variance 0.7842 0.8307 0.8741 0.9122 0.9468 0.9762 1.0000
summary(Diabetes_pca)
## Importance of components:
##                           PC1    PC2     PC3     PC4     PC5     PC6     PC7
## Standard deviation     1.7647 1.2541 1.11464 1.07548 1.01888 1.00936 0.98163
## Proportion of Variance 0.2076 0.1048 0.08283 0.07711 0.06921 0.06792 0.06424
## Cumulative Proportion  0.2076 0.3125 0.39528 0.47239 0.54160 0.60952 0.67376
##                            PC8     PC9    PC10    PC11    PC12   PC13    PC14
## Standard deviation     0.91875 0.90107 0.83554 0.80717 0.75555 0.7204 0.66399
## Proportion of Variance 0.05627 0.05413 0.04654 0.04344 0.03806 0.0346 0.02939
## Cumulative Proportion  0.73003 0.78416 0.83071 0.87414 0.91220 0.9468 0.97619
##                           PC15
## Standard deviation     0.59765
## Proportion of Variance 0.02381
## Cumulative Proportion  1.00000
Diabetes_pca$rotation
##                               PC1          PC2         PC3         PC4
## HighBP                0.326149229  0.246399261 -0.13303779 -0.26080449
## BMI                   0.167626995 -0.101839483  0.04120408 -0.66482697
## Smoker                0.093333990  0.350190124  0.28938167  0.05229281
## Stroke                0.211842691  0.162241675 -0.13665199  0.37073969
## HeartDiseaseorAttack  0.239087419  0.316667386  0.01177870  0.29208452
## PhysActivity         -0.291085313 -0.057618287 -0.03361984  0.27464859
## HvyAlcoholConsump    -0.090283959 -0.002662284  0.24257599  0.16136839
## AnyHealthcare         0.005143826  0.329295696 -0.02590574  0.07389193
## GenHlth               0.440430257 -0.097915017  0.22701840 -0.03692534
## MentHlth              0.233893964 -0.265986788  0.38061240  0.30151528
## PhysHlth              0.349300603 -0.111540622  0.41669288  0.06206433
## Sex                  -0.079777876  0.433715325  0.43256510 -0.22683585
## Age                   0.212579671  0.450806495 -0.35680625  0.04305580
## Education            -0.320398143  0.186484273  0.19327836 -0.08877913
## Income               -0.370084452  0.221427867  0.30917390 -0.01554688
##                               PC5         PC6         PC7           PC8
## HighBP               -0.008269941 -0.10906402 -0.09655581 -0.2698343702
## BMI                  -0.071433125  0.03572986 -0.05743480 -0.5231458782
## Smoker                0.550101274  0.17628365 -0.18612003  0.0120565846
## Stroke               -0.401701344  0.27739720  0.01466837 -0.1542399862
## HeartDiseaseorAttack -0.195132878  0.27008153  0.01483961 -0.3002428568
## PhysActivity          0.342307829 -0.09372920 -0.03906327 -0.5642317955
## HvyAlcoholConsump    -0.283092530 -0.37582616 -0.79934851 -0.0963949484
## AnyHealthcare         0.129072603 -0.70109968  0.33836227 -0.0857513055
## GenHlth              -0.114296874 -0.13677232  0.07770650  0.1028945455
## MentHlth              0.182407069  0.04554311  0.21335985 -0.3036853105
## PhysHlth             -0.112870068 -0.23770044  0.12456154  0.1647823988
## Sex                   0.096176135  0.25417875 -0.06652457  0.1513946402
## Age                   0.034914264 -0.14596999 -0.05282487  0.0993500168
## Education            -0.380645175 -0.02380269  0.32104021 -0.2041259867
## Income               -0.253703680 -0.02291390  0.14131551 -0.0006541796
##                              PC9         PC10         PC11         PC12
## HighBP               -0.32944063 -0.357349004  0.110808684  0.136294368
## BMI                   0.26013875  0.145731702 -0.029611678 -0.050232966
## Smoker                0.37261357 -0.352592375 -0.321088908 -0.213702039
## Stroke                0.50830550 -0.209563654  0.432075377  0.040035634
## HeartDiseaseorAttack -0.17340541  0.540775940 -0.435655890 -0.140156256
## PhysActivity         -0.19189638  0.027185580  0.410766222 -0.408359237
## HvyAlcoholConsump     0.02699488 -0.003146716 -0.081614107  0.133060848
## AnyHealthcare         0.37486619  0.259043096  0.004676320  0.197339594
## GenHlth               0.02231245 -0.095542371  0.124716063 -0.211497810
## MentHlth             -0.19103418 -0.154036780 -0.068708928  0.590671465
## PhysHlth             -0.14370660  0.044890882  0.116925618 -0.480698849
## Sex                  -0.11572066  0.317028455  0.490189988  0.223919970
## Age                  -0.36258045 -0.171491658  0.025402519 -0.006981887
## Education            -0.06052129 -0.372124247 -0.238667548 -0.115815696
## Income               -0.11077971 -0.138820034 -0.003060682 -0.016800980
##                              PC13        PC14        PC15
## HighBP               -0.585988402 -0.08847753 -0.18655896
## BMI                   0.316706307  0.19736718 -0.05395146
## Smoker               -0.006698845  0.03241176 -0.02610930
## Stroke                0.043461280  0.03579847 -0.12886628
## HeartDiseaseorAttack -0.143795436  0.00484345  0.05542146
## PhysActivity          0.013493987 -0.01277978  0.12707956
## HvyAlcoholConsump     0.073539002 -0.07393938  0.03663940
## AnyHealthcare        -0.086324735 -0.03441972 -0.01159808
## GenHlth              -0.102959393  0.06712893  0.78110078
## MentHlth              0.215903965  0.06667656 -0.02789805
## PhysHlth              0.117119501 -0.04146314 -0.54157819
## Sex                   0.065262372 -0.23117564  0.06108071
## Age                   0.622968346  0.18299730  0.06392318
## Education             0.179008537 -0.52007680  0.11000067
## Income               -0.159175565  0.75892425 -0.01334982
print(Diabetes_pca)
## Standard deviations (1, .., p=15):
##  [1] 1.7646922 1.2540627 1.1146446 1.0754771 1.0188832 1.0093606 0.9816263
##  [8] 0.9187490 0.9010750 0.8355400 0.8071737 0.7555477 0.7203929 0.6639907
## [15] 0.5976521
## 
## Rotation (n x k) = (15 x 15):
##                               PC1          PC2         PC3         PC4
## HighBP                0.326149229  0.246399261 -0.13303779 -0.26080449
## BMI                   0.167626995 -0.101839483  0.04120408 -0.66482697
## Smoker                0.093333990  0.350190124  0.28938167  0.05229281
## Stroke                0.211842691  0.162241675 -0.13665199  0.37073969
## HeartDiseaseorAttack  0.239087419  0.316667386  0.01177870  0.29208452
## PhysActivity         -0.291085313 -0.057618287 -0.03361984  0.27464859
## HvyAlcoholConsump    -0.090283959 -0.002662284  0.24257599  0.16136839
## AnyHealthcare         0.005143826  0.329295696 -0.02590574  0.07389193
## GenHlth               0.440430257 -0.097915017  0.22701840 -0.03692534
## MentHlth              0.233893964 -0.265986788  0.38061240  0.30151528
## PhysHlth              0.349300603 -0.111540622  0.41669288  0.06206433
## Sex                  -0.079777876  0.433715325  0.43256510 -0.22683585
## Age                   0.212579671  0.450806495 -0.35680625  0.04305580
## Education            -0.320398143  0.186484273  0.19327836 -0.08877913
## Income               -0.370084452  0.221427867  0.30917390 -0.01554688
##                               PC5         PC6         PC7           PC8
## HighBP               -0.008269941 -0.10906402 -0.09655581 -0.2698343702
## BMI                  -0.071433125  0.03572986 -0.05743480 -0.5231458782
## Smoker                0.550101274  0.17628365 -0.18612003  0.0120565846
## Stroke               -0.401701344  0.27739720  0.01466837 -0.1542399862
## HeartDiseaseorAttack -0.195132878  0.27008153  0.01483961 -0.3002428568
## PhysActivity          0.342307829 -0.09372920 -0.03906327 -0.5642317955
## HvyAlcoholConsump    -0.283092530 -0.37582616 -0.79934851 -0.0963949484
## AnyHealthcare         0.129072603 -0.70109968  0.33836227 -0.0857513055
## GenHlth              -0.114296874 -0.13677232  0.07770650  0.1028945455
## MentHlth              0.182407069  0.04554311  0.21335985 -0.3036853105
## PhysHlth             -0.112870068 -0.23770044  0.12456154  0.1647823988
## Sex                   0.096176135  0.25417875 -0.06652457  0.1513946402
## Age                   0.034914264 -0.14596999 -0.05282487  0.0993500168
## Education            -0.380645175 -0.02380269  0.32104021 -0.2041259867
## Income               -0.253703680 -0.02291390  0.14131551 -0.0006541796
##                              PC9         PC10         PC11         PC12
## HighBP               -0.32944063 -0.357349004  0.110808684  0.136294368
## BMI                   0.26013875  0.145731702 -0.029611678 -0.050232966
## Smoker                0.37261357 -0.352592375 -0.321088908 -0.213702039
## Stroke                0.50830550 -0.209563654  0.432075377  0.040035634
## HeartDiseaseorAttack -0.17340541  0.540775940 -0.435655890 -0.140156256
## PhysActivity         -0.19189638  0.027185580  0.410766222 -0.408359237
## HvyAlcoholConsump     0.02699488 -0.003146716 -0.081614107  0.133060848
## AnyHealthcare         0.37486619  0.259043096  0.004676320  0.197339594
## GenHlth               0.02231245 -0.095542371  0.124716063 -0.211497810
## MentHlth             -0.19103418 -0.154036780 -0.068708928  0.590671465
## PhysHlth             -0.14370660  0.044890882  0.116925618 -0.480698849
## Sex                  -0.11572066  0.317028455  0.490189988  0.223919970
## Age                  -0.36258045 -0.171491658  0.025402519 -0.006981887
## Education            -0.06052129 -0.372124247 -0.238667548 -0.115815696
## Income               -0.11077971 -0.138820034 -0.003060682 -0.016800980
##                              PC13        PC14        PC15
## HighBP               -0.585988402 -0.08847753 -0.18655896
## BMI                   0.316706307  0.19736718 -0.05395146
## Smoker               -0.006698845  0.03241176 -0.02610930
## Stroke                0.043461280  0.03579847 -0.12886628
## HeartDiseaseorAttack -0.143795436  0.00484345  0.05542146
## PhysActivity          0.013493987 -0.01277978  0.12707956
## HvyAlcoholConsump     0.073539002 -0.07393938  0.03663940
## AnyHealthcare        -0.086324735 -0.03441972 -0.01159808
## GenHlth              -0.102959393  0.06712893  0.78110078
## MentHlth              0.215903965  0.06667656 -0.02789805
## PhysHlth              0.117119501 -0.04146314 -0.54157819
## Sex                   0.065262372 -0.23117564  0.06108071
## Age                   0.622968346  0.18299730  0.06392318
## Education             0.179008537 -0.52007680  0.11000067
## Income               -0.159175565  0.75892425 -0.01334982
## Sample scores stored in sparrow_pca$x
Diabetes_pca$x
##                 PC1          PC2          PC3           PC4          PC5
##   [1,] -0.606240531 -0.398177515  2.391958872 -0.2383106771 -0.849227041
##   [2,]  0.352807562  2.830353077  0.002293405  0.3251954957 -1.543227577
##   [3,] -2.178113675  1.159551255  0.002062511  0.1841974664 -0.406924179
##   [4,] -0.926465857  1.912889526  0.678087521 -0.5739676536  0.514738888
##   [5,] -1.818475684 -0.049966573 -0.037373299  0.3764022678  0.784162415
##   [6,] -2.163596044 -3.776800002  0.374854500  1.2299026639 -0.245668765
##   [7,] -2.169569628  1.584375518  0.934135847  1.1467231594 -0.043214444
##   [8,]  0.410018794 -0.244220845  0.708821575 -0.8335133071  0.941381915
##   [9,] -2.255473061 -1.532074349  0.440338251 -0.2104653518 -0.874913480
##  [10,] -0.015428398 -0.071476543  0.881305129 -0.3898030050  0.899067779
##  [11,]  0.823915461  1.518058248 -0.931243547  1.2415755698  0.805118711
##  [12,] -3.359160479 -0.152943084  0.736066936  0.4546072340 -0.357326944
##  [13,] -1.935232397  0.678628476  0.298886842 -0.6341401395 -0.494977091
##  [14,]  1.177495858  0.074250873 -0.021325458 -3.8360558955 -0.605865256
##  [15,] -0.889377976 -0.320872696 -1.456080424  0.4881671112  1.696106536
##  [16,] -0.912251229 -0.015763802 -0.631110084  1.5237722632  1.414935038
##  [17,] -1.738441113 -0.697026763 -0.879499871  0.1992750422 -0.201299839
##  [18,] -2.320801387  1.317180255  0.440297993 -0.1961042303  0.841201444
##  [19,] -2.528846362 -0.440392279 -0.484142286  1.0442640296 -0.589561666
##  [20,]  0.342525268 -1.420096473  0.714265293 -1.2900570223 -1.367258714
##  [21,] -3.015466346 -0.718654644 -0.403400036  0.8535263483 -0.537830784
##  [22,]  1.038127484  1.079553946  2.160644012 -0.4933776094  0.351709034
##  [23,] -2.940616400 -0.483146821  0.763133788  1.6755372819 -2.051858581
##  [24,] -1.644467931 -0.890240937 -1.396780233  0.3230041143  0.374459258
##  [25,]  0.791264060 -1.616856831 -0.107904756  0.9238608396  0.308930030
##  [26,] -2.097172293  0.069325402  0.398220866 -0.0126187072 -0.075461614
##  [27,] -0.474682328  1.419714227 -0.643430572  0.1238195558 -0.100607637
##  [28,]  0.961013814 -0.590986484 -0.832699432 -1.0518672709 -0.727404742
##  [29,] -1.651639608 -1.403389957 -0.255879115 -0.5217829965 -0.298555910
##  [30,] -1.632691189 -0.377051615  0.159385549 -0.6877574285  0.658635224
##  [31,]  1.704135781 -2.164982745  1.656040529  1.4758181910  1.892349121
##  [32,] -1.361771076 -1.469442667  0.147203074  0.9989437926  1.449439776
##  [33,] -1.778087810 -0.784948456  0.695934712  0.6764068099  0.276939083
##  [34,] -0.036878893 -1.966125490 -0.336146676  0.4876191828 -0.566905743
##  [35,] -0.123794448  2.470797244 -0.066397476  0.2080989751  0.715706105
##  [36,] -1.195731733 -1.476909516 -0.467396531  1.6590965153  0.898281182
##  [37,] -2.190642492 -0.006794962  0.893728613 -0.5237881368 -1.208082754
##  [38,] -1.870313226  0.547837097  0.928549178 -0.8403512741  0.755669825
##  [39,] -2.090087049  0.471952090  1.119812203 -0.3084049804  0.933948664
##  [40,] -2.171239633  1.446853098  0.242581082  0.1839560441  1.137386903
##  [41,] -2.129855827 -0.838105324  0.844233475  1.3860766855 -1.802532550
##  [42,] -2.523281797  0.341560385  0.438992299 -0.0852170308 -0.465179351
##  [43,] -0.357933376  0.037659480  0.576466477 -3.0074346136  0.398232302
##  [44,] -1.104995565  0.361425481  0.967422919 -1.4551350126  1.184745327
##  [45,] -1.591538264  0.112916916 -0.840580130 -0.2352210252 -0.675480931
##  [46,]  0.434295880 -1.589273150  1.308210576  0.8172830145  0.325218741
##  [47,] -2.671945733 -0.319568428  0.104285728  1.3133139165  0.945867634
##  [48,] -2.091202644 -0.872289105 -1.012620173  0.7748441511  0.093833084
##  [49,] -2.254899214 -0.739252648  1.101274569 -0.0159292379 -0.252256799
##  [50,] -0.878134388  1.470189969 -0.601158520 -0.0801021844 -0.239220356
##  [51,] -0.021011650 -0.005302400 -1.404853976 -0.3089410320  0.043071162
##  [52,]  0.834590864 -0.417315288  2.939931546  0.4681054531  0.961788224
##  [53,]  0.524582441  2.436572199  0.043712945 -0.5700269952  0.548687229
##  [54,] -2.470454763 -1.134212205  0.024439403 -0.0134862709 -0.717761570
##  [55,] -2.467441524 -0.485954041 -0.694778037  1.0992146570 -0.270953059
##  [56,] -1.987414713  0.796848832 -0.091182111 -0.5010076763 -0.943247535
##  [57,] -1.387549504 -1.552782132  0.606928089 -1.6432891717 -1.703206521
##  [58,] -1.390369653  0.460850907 -0.730682770  0.6272840900  1.302101211
##  [59,] -3.264509549 -0.046106964  1.417001221  1.6847296908 -0.889176457
##  [60,]  3.088994827 -0.185924380  2.760913096 -0.6970309121  0.728253743
##  [61,] -0.143569338  0.364387021  3.025695360  0.5429814688  0.340223008
##  [62,]  2.047436690 -0.577100770 -1.567957456 -1.4643776885 -0.182694209
##  [63,] -0.096600756  1.734086549 -0.663235152  1.5892583589  0.289343703
##  [64,] -1.630750928  0.207938535  0.641837034  0.3520372553  0.012413351
##  [65,] -2.845029164 -0.513618475  1.182463366 -0.1521447367 -0.552552572
##  [66,]  3.242622839 -2.029394200  1.830341632  3.5751352480  0.770949705
##  [67,] -1.681017891  0.986498165  0.682794823 -1.2862442879  0.963852290
##  [68,] -0.694000679  2.592138654  0.560669429 -0.4785484105  0.051024165
##  [69,] -0.690127562 -0.566605055 -0.849195501 -0.4892813721 -0.219108844
##  [70,] -2.228591931 -1.692364661  0.167537626 -1.1248653201 -0.766711159
##  [71,] -2.661473973 -0.359873114  1.244245335  0.1811174059 -0.566171695
##  [72,] -1.781969331 -0.257651903  0.687450704  0.1196862702 -0.257188728
##  [73,]  3.730056691 -0.726358544  2.617701225  0.9515743710  1.542928528
##  [74,] -2.439695549 -0.058043391 -0.107332356  0.4106926735  0.251233472
##  [75,] -0.178500718 -0.628523357 -1.969896196  0.7251784543  0.608776384
##  [76,]  0.038640360  0.167825198 -1.384302034 -0.2740053592  1.448132137
##  [77,] -1.734280525 -0.850648257  0.368110103  1.4676670179  1.224648398
##  [78,] -1.811395539 -0.081585182  0.175425615 -0.9461092237 -0.089813549
##  [79,] -0.588754215 -1.469039759  0.849188809  0.8958811137  0.921021195
##  [80,] -0.139242711  0.487081484 -1.223953428 -0.5577896058  1.205124644
##  [81,] -3.057085303 -0.479155398 -0.564721822  1.3459097769 -0.473738775
##  [82,] -0.344622830 -0.448822284  1.100266866 -0.8511454998 -0.275718408
##  [83,]  1.640178510 -1.877442783  0.113202828 -0.7863296085 -0.182166113
##  [84,] -1.411764499 -0.245015010 -1.513446134  1.1898176543  0.294705815
##  [85,] -1.735237498  1.440029988  0.628255695 -1.7207906497  0.583522746
##  [86,] -2.857191161 -1.547391200  0.457155833  0.8409784817 -0.652624084
##  [87,] -2.530563661 -1.296205834  0.119801620 -0.2581973722 -0.774255326
##  [88,]  4.390366151 -0.142393231  1.193938080  2.6964968666 -0.868905431
##  [89,]  1.947730145 -2.690653586  1.281869023 -0.5479370100 -1.613982592
##  [90,] -0.816890241 -0.045470328  0.298567424 -1.2925834993 -0.342065274
##  [91,]  0.254945832  0.185179463 -0.957530453 -0.3364926057  1.367277530
##  [92,] -2.390543199  0.054539644  0.361740526  0.3652325365 -0.071953781
##  [93,]  2.885642134  1.953307583  1.296962070 -0.8852212105 -0.381979125
##  [94,] -2.664593794  0.283453501  0.124848436 -0.3325446868 -0.285302652
##  [95,]  2.576103208  0.325042883  0.549106714  0.4821520036 -0.530567348
##  [96,] -1.808863748  0.053846731 -1.874778296  0.9924474228  0.002813246
##  [97,] -1.376807675 -0.876752479 -1.128509078  1.1678901791  0.334271061
##  [98,] -2.353607923 -0.253691264 -0.811525060 -0.3154152494 -0.630802790
##  [99,] -1.034724763 -0.794762866 -0.851461100  0.1715526566 -0.137812699
## [100,] -1.268043388 -3.673889855  0.601597092 -0.8185845228 -1.710657689
## [101,]  1.404555441 -0.130684788  0.019379515  0.1847125097 -0.872698791
## [102,]  0.654684080 -0.149391390  0.341588253  0.9995112755 -1.355898615
## [103,] -3.026724937 -0.353395563  0.640199687 -0.2055654193 -0.316408359
## [104,]  4.161152579 -1.060125804  1.365196755  1.6451142572  1.311983601
## [105,] -1.442872036 -0.827727702  0.819631000 -0.9660751550  0.062068371
## [106,]  1.784056713 -0.326883881 -0.490750130 -0.3254687765 -0.724536632
## [107,] -1.783712826  0.221220113 -0.871391056  1.3896021524  1.477866334
## [108,] -1.948970227  0.544273766  1.584398637 -0.4126460721  0.447889435
## [109,] -0.951160944  1.819740233  0.691418541 -1.1744493066 -0.103405914
## [110,]  0.772646639  0.188908739  1.680305228 -1.7932047910  0.361787763
## [111,] -1.709492881  0.312250858 -0.312767456  0.5988007679  0.830432859
## [112,] -0.793878346  0.193215549  0.564407852 -0.3075107646  0.963394625
## [113,]  0.139798601  0.247298590 -0.724863070 -1.1840295569  0.920199148
## [114,] -0.779046200  0.866434152 -0.942668213  0.0172144532  0.799041252
## [115,] -0.026950229 -1.352287682  0.724883346  1.0781430348 -0.559088409
## [116,] -3.116399073 -0.084701052  0.467065546  0.4774100985 -0.231837955
## [117,] -1.742698849 -0.475757127  0.156668065  1.3126054954  1.169901753
## [118,]  0.012364592  0.296063473  0.990343944 -0.9297619879  0.746106047
## [119,] -1.725964768  0.781967552  0.252492638 -0.7301602435 -1.174320219
## [120,] -1.581609441 -0.895991463  0.366757932 -0.3520358538  0.426229760
## [121,]  0.147873526 -0.856057007  1.855554391  1.3881977901  2.062235997
## [122,] -1.683501360 -3.653644591  2.795129364 -0.1609395875 -0.179930632
## [123,] -1.628576805 -1.432365478 -0.204278125  0.9527911893 -0.007595822
## [124,] -1.589753545 -0.881332184  1.243319806  1.3507610216 -1.878341721
## [125,] -2.854180917 -0.741177528  1.086621042 -0.0784405597 -0.419723341
## [126,] -2.264444604  0.998472076  1.035742190 -0.2664711191  0.604815104
## [127,]  0.431575684  0.829226451 -2.582503322  0.7352084789  0.245674441
## [128,] -0.742633888  0.009111216 -0.418345027 -0.4448386432 -1.446995879
## [129,] -2.598843801  0.099303135 -1.056448365  0.8377463309 -0.483589855
## [130,] -1.944399388  1.254394641  0.701747929  0.0707114060  0.751024613
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## [228,] -0.870883801  1.030420889 -0.458348715  0.7574458845  1.919014248
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## [323,]  3.124464720 -1.131762190  0.519984527 -1.3079166875  0.498012163
## [324,]  3.293343026  0.273184647  2.181847363  0.7496439633  1.181465945
## [325,]  2.483991926  0.720932692 -0.499030878 -0.3696884785  1.906892835
## [326,]  0.610662789 -1.254233726 -1.402942519 -1.5240174995 -0.328671759
## [327,]  0.249460741 -0.345003461 -1.243633875 -0.2830147377 -0.501703650
## [328,]  1.020133169  1.241771946 -1.503247274  0.0915155033  0.999858587
## [329,]  0.846768298 -0.423020032  0.108279770 -2.6045923410 -0.654027818
## [330,]  0.131310551  0.400038015  1.038631752 -0.3144548472  0.623358321
## [331,]  4.323580385  0.605692051  1.770771844 -1.1806992865  0.561695312
## [332,]  3.365603536  0.154891277 -1.819942040  2.6670670612 -0.899902402
## [333,]  1.081331546  0.004681426 -2.092878227 -0.9440441861 -0.436586881
## [334,]  1.392871180 -1.818817943  0.982450341 -1.0097886177  1.319980787
## [335,]  1.558711110 -0.382111499 -0.521409763 -1.8929124660  0.587896064
## [336,]  1.358820498 -0.545945989 -1.583989308  0.4267138366 -1.209471616
## [337,] -1.478176356 -0.616929828  0.060363292  0.1384875766 -0.891524413
## [338,] -0.560862141 -0.408870550 -1.897105946  0.9498247625  0.144589484
## [339,]  1.211323509 -1.119850406 -1.897823114 -0.0223389307  1.162433586
## [340,]  3.188982107  1.105228332  1.000570166  0.0007679735 -0.842271479
## [341,]  0.830613036 -1.263459430 -1.394502673 -1.3245321957  0.146065580
## [342,]  1.012927695 -0.590080592 -1.739806825 -1.0087809119 -0.232942309
## [343,]  2.020433744 -0.830024702  0.485250531 -0.6169646693 -1.334631364
## [344,]  2.407338547 -0.489757455 -1.979917073 -0.5188097185 -1.714147078
## [345,]  0.475127038 -1.091822277  0.175061155 -1.5952860434 -0.876547094
## [346,] -0.213785629  1.481297141 -0.415736130  0.0099163381 -0.524774464
## [347,]  1.558734780 -0.303984494 -1.232828715 -0.4576764899  1.794303841
## [348,]  4.227030922 -1.832555837 -1.310041659 -0.3330334531 -2.260706115
## [349,]  2.656334459 -0.604557584  2.530279940 -0.0367057694 -0.407716337
## [350,]  0.726024403  1.367212442  1.306451601  2.2402648580 -1.320656295
## [351,]  3.332928179  0.874275937 -0.510585761  0.3399928835 -2.038934419
## [352,]  2.627044602 -1.272799558 -1.203941524 -1.9604414989 -0.304264927
## [353,]  0.244983452 -0.934605240 -0.379501864  0.8160913161  0.413776054
## [354,] -1.188635994  2.057084690  0.932101492  1.0583907227  0.202784978
## [355,]  0.440089868 -2.159280045 -0.170489824 -1.2865705529 -0.040538327
## [356,] -2.380575687  0.419201239  1.131738939  0.9543133368 -1.017507257
## [357,]  2.481286327 -1.505938227  0.154523113 -1.1499600805 -0.671730892
## [358,]  0.590847610  1.481607533 -0.330456040 -0.3742661969 -2.410580886
## [359,]  0.859674835  0.224618937  0.723350292  0.1763710809  0.077060190
## [360,]  1.098708285 -0.706127765 -1.371610423 -0.2226073032 -0.121947205
## [361,]  0.304041016  0.149029540 -0.862073558 -1.1771298978  1.032792112
## [362,]  3.688052904 -1.228265340  0.766494002  0.4152925182 -0.656898289
## [363,] -1.093890375  0.841985018 -0.691385355  0.2802997225  0.704269853
## [364,]  1.162007947  2.689649882  0.399501888 -0.4276726951 -0.304687207
## [365,]  0.716305849  0.971723616 -1.246705978  0.2770922071  1.045908137
## [366,]  0.945557309  1.466964888 -0.499784306 -0.2881052136 -0.540326459
## [367,]  0.936810306 -0.684514330 -0.235109386 -0.3144352873 -1.036871060
## [368,]  0.756864170 -1.112961961 -1.648284296 -1.0845207097  0.485434329
## [369,]  1.187075542  2.668097591  0.489052606 -1.1730139425 -0.628933429
## [370,] -0.958304164  2.752712614  0.495701483  0.5697080804  0.163655330
## [371,]  0.338366666  0.027897223 -1.346380482 -0.6392921644 -0.629461351
## [372,]  0.436905369  0.034992092 -2.024434921 -0.8398901872 -0.453835346
## [373,] -1.600906161  0.439500356 -0.309497806 -0.1530583599  0.273120748
## [374,] -0.606678606  0.563762899 -0.695949729 -0.5870922848  0.042710090
## [375,]  1.522220793  0.493281237  1.575757643 -0.3221596865  0.898670752
## [376,] -0.616819649  2.090771144 -0.002750341  0.1634282876 -1.052879607
## [377,]  0.769372279  0.185398309  1.496890173  0.5312652762  2.164799768
## [378,] -2.022349370 -2.048334134 -0.647282107  0.2351810505 -0.864007269
## [379,] -0.332153197 -2.184156788 -1.556956308 -0.1086400088 -0.019133649
## [380,]  0.343466327  1.627814306  0.122741835 -1.1021161095  1.255753751
## [381,]  1.959969115  1.091149276  2.277542800  0.0993156207  0.288769651
## [382,]  1.096291828  0.709852675  1.593834506  1.4634066644  0.379694398
## [383,]  4.788824260 -2.333262072  0.261770086  0.8477663156  1.454304985
## [384,]  2.953241175 -2.121439076 -0.048298751 -1.6776988621 -0.295583119
## [385,]  3.953080801  0.629581988 -0.692826059  2.2779470993 -0.140338070
## [386,]  1.596020067 -1.408254495 -0.397428301  0.3803709652  0.623659964
## [387,] -0.507005542 -0.383314679 -1.171693175  0.1962431375  0.100157911
## [388,]  1.767976688  0.567885928 -0.798842893 -0.9987266776  1.927227401
## [389,]  0.037281413  1.333228592 -0.187101258  0.1533350331  0.996622262
## [390,]  0.842170869 -1.646721805  0.217442553  0.6300578900  0.660338087
## [391,]  0.843783436 -0.168018219 -1.345537209 -0.6969778068  1.664099633
## [392,] -1.934960875 -0.655726038 -0.236334786  0.1549388092 -0.779715764
## [393,]  3.069766792  1.309777123  1.029174181  1.3340146409  0.556567017
## [394,] -0.841372906  0.157761785 -0.470256792  0.4125445442  0.938588543
## [395,] -1.063573636 -0.644591049 -1.939569329  0.7850486027  0.738408862
## [396,]  0.049601141  1.167036501 -0.694321422 -0.4516498774  1.930135093
## [397,] -1.665456349 -0.584826567 -0.254078242 -0.2930498872 -0.840908819
## [398,]  4.322602450  0.166886465  1.222695814  2.7242358719 -2.617189037
## [399,]  1.398007661  1.378333503 -1.596237858  2.3364772965 -1.812826147
## [400,]  4.437649222 -0.715172615  2.322672413  0.0916621613  1.961233100
## [401,] -0.352878266 -0.053332793 -1.530184164  0.2519763169 -0.003789722
## [402,]  1.725305338  0.277819244 -1.963587571  1.1230063726 -1.497708718
## [403,]  1.092839134 -0.730026982 -2.009400660 -0.7412578824  0.053490599
## [404,]  0.394293776 -0.324842332 -1.227434010 -0.1590133079  0.065245168
## [405,] -1.893315001  0.302817887  0.585531405 -0.6345351052 -0.588600496
## [406,]  0.244260942 -0.696043389 -1.334559076  0.0117163162  0.077124435
## [407,]  0.262897634 -0.418087829 -1.817375556 -0.2277316974  0.412532867
## [408,]  1.370436207  2.004000370  2.828527245  0.6850675778 -1.894860722
## [409,]  2.106911367 -0.303486380 -1.800729820  0.2679496324  2.470940320
## [410,] -1.102330387  1.825938425  0.853051744  0.0897897746  0.550624146
## [411,]  0.436767359  0.197939844 -1.500376363 -0.3962817798 -0.748719710
## [412,]  0.343019654 -3.285459399 -0.777514563 -3.5747529463 -0.945401971
## [413,]  1.915190881  0.861268913 -0.885127958 -0.0738524494 -1.438051792
## [414,]  2.995598088 -1.413013541 -0.293167506  0.7759848475  0.748530703
## [415,] -0.908553129  0.516115029  1.427819246  0.1301188018  1.084103418
## [416,]  1.048686817 -0.921710601  1.508217286 -0.9148171595  0.411065938
## [417,] -1.182920861 -1.100238113 -0.845196570  0.4513984700 -0.056293673
## [418,]  0.732075729 -0.997386463  0.882639785  0.3266155714  0.166493471
## [419,]  0.896131733  2.221707870 -0.481093944  0.5771974081  1.251669129
## [420,] -0.016016455  0.229038019 -1.089130329 -1.1839138723 -1.288154789
## [421,]  1.985146731 -3.729851863 -0.253117659  0.6158646740  0.981599085
## [422,]  1.342184972 -1.668292784 -0.591287663 -0.9597336514  0.023963688
## [423,]  0.582869712  0.418757300 -1.049446695  0.4239897292  1.363661153
## [424,]  1.003746316  0.780749820  1.710634104 -1.1595026219 -1.645726037
## [425,] -0.170756689  1.691970101 -0.875365013  1.0116387732  0.331153693
## [426,]  0.003398704  1.701593215  1.212299410 -1.6990415811 -0.364411873
## [427,] -0.806248037  1.560178360 -0.259360815 -1.6125579143 -1.206386671
## [428,]  0.172106286  1.031908693  0.449529448 -2.7843021782  0.857899420
## [429,] -2.053476354 -1.086158635  0.169746310 -0.4682199706 -0.859306700
## [430,] -0.353274366  1.005053560 -0.099172790 -1.2810416473 -1.064037333
## [431,] -1.778921791  1.134956140  0.497739412 -0.2208653900  0.855793081
## [432,]  0.617449086  1.238819685  0.234010417 -2.3231879285  0.381322923
## [433,]  1.530034315 -0.880130910 -1.165285581  0.8824819929  0.741015766
## [434,]  3.178031465  1.327516037  0.703053352 -0.4508637112 -1.264028643
## [435,]  0.921401559 -0.062030640 -0.328461798 -2.0227796360 -1.665557598
## [436,]  0.645929806 -0.914372688  1.199267301  0.1029754553 -1.877362792
## [437,] -1.513291067 -0.355212540 -0.780134825  0.1040292921 -0.305390584
## [438,]  0.132122691  0.968554332  0.447934022 -1.1222260615  1.066793671
## [439,]  2.530822040 -1.328210092  2.453807714  1.4497896259 -0.719777583
## [440,]  0.562399002 -0.771907755 -1.636043491 -0.4974467350  0.435726024
## [441,] -1.123704946  0.914167912 -0.907350383 -0.7428138298  0.456574126
## [442,]  2.899339955  1.881053308  1.647439940  0.1868405321 -0.240266431
## [443,]  1.447296233  0.330944745 -0.643520028 -1.7617527688  0.200099994
## [444,]  1.327063713  3.277391288  0.226312339  0.6305047930 -2.051998103
## [445,]  2.165907466  1.471900731 -1.152179873  0.8332512985 -3.232748620
## [446,]  1.044641541 -0.377937506 -1.133829343  0.0870661914  2.106583484
## [447,]  1.202873706  1.369949600 -0.924422395  0.4426866404 -1.512590931
## [448,]  1.490951035 -0.713930296 -0.229577109  0.1131247335 -0.120979459
## [449,] -0.108700619  1.153946123 -0.854321204  2.1021474792 -2.731210916
## [450,]  1.683964972 -0.790327268 -1.018476004  0.6174797579  1.381411502
## [451,]  1.931366277 -1.603163544 -0.194502178  0.4727238386 -0.372779576
## [452,] -1.473569098 -0.574590854  0.568281023 -1.4621299079 -0.394542593
## [453,]  1.364876540 -1.051197480 -1.313240037 -0.6750350200  0.361159982
## [454,] -0.565196904  0.195531217  0.059636248 -0.5501112574  0.687421400
## [455,]  3.459769850  1.540421738 -0.459525432  1.8118430737 -1.291603261
## [456,] -0.059530828  1.410558792  0.112923574  0.3642406234  1.613344373
## [457,]  3.684124970  0.464497623 -1.418638368  2.3096513296 -2.025080103
## [458,]  0.477071264  0.259333050 -0.305277326 -0.0280787157  0.864942351
## [459,]  0.867484119  0.725284009  0.270935732 -1.5659574126 -1.223191126
## [460,]  2.690776727 -1.740553145  1.266296499  0.6130126752  2.096372206
## [461,]  1.651209677  2.187579030  0.232289043 -0.7326918256  0.119217751
## [462,] -0.418698730 -1.058785873 -0.393032386 -1.1235719545  1.611701713
## [463,]  2.515538347  2.389344930  1.410061259 -0.4066371001 -0.543073043
## [464,]  2.432114603 -0.914542482  0.735798241 -2.1133464616 -1.539036638
## [465,]  0.415237535  0.090824792 -1.273294668  0.3443790249  1.664137835
## [466,]  1.793212788 -0.795405753 -1.133471047  1.6752513367 -1.166238827
## [467,]  0.328231726  0.457981356 -0.276875308 -0.6812398001  0.567589940
## [468,]  1.331171631 -0.531351049 -1.150398712 -0.8329382166  1.655556049
## [469,]  2.697729195 -1.480153820 -1.199178400 -1.5980817521  0.373390658
## [470,]  0.523474164 -0.771320855 -1.904139818  0.1347213290 -0.016220399
## [471,] -0.214088712  2.025456501  0.821672818 -0.2662549567  0.312873989
## [472,] -0.450705924 -0.850755818 -0.949864966 -0.6693009064 -0.147526594
## [473,]  0.096310378  1.512768053  0.367931078 -1.1259075609 -1.775342818
## [474,]  0.803328451 -0.746689199 -0.569667428 -1.3011508030 -0.782782431
## [475,]  0.892743466 -0.438305982 -0.047196957 -1.4950940245 -0.046492162
## [476,]  0.356060813  0.492043653 -0.692537974 -1.3639765858  0.441310129
## [477,]  1.045887851  0.916963816 -1.063866425  0.4360234775  0.968385204
## [478,]  1.635114048 -0.769897410 -0.032617289 -1.3337104375  1.172894152
## [479,]  3.384171406 -3.748637982  2.117821826  0.4816992405  1.331831889
## [480,] -1.291011741 -0.113779752 -1.823243054  1.0629823077  0.027644080
## [481,]  3.533787560  0.724417347 -0.959931323 -0.2528729747  0.724664191
## [482,]  2.879625120 -0.654049208 -1.121197954  1.0800265997 -1.452424120
## [483,] -0.850903456  1.623654034  0.569517802 -0.9830378604  0.607818682
## [484,] -1.318214773  1.976303610  0.201731755 -0.2684015238  0.790390412
## [485,]  0.361009385  1.032882869  0.362646310 -0.8526734757 -1.222651324
## [486,]  2.419910959 -0.467962508  1.361856102 -1.6957131333 -0.239946023
## [487,]  0.848012547  1.207791455  0.136793317 -0.8840868077 -1.140291698
## [488,]  1.928009671 -0.712802251 -0.191821919 -2.1249145430 -1.303625077
## [489,] -0.563124316  0.759359402  0.919304979 -0.2326071543 -1.847350616
## [490,]  2.466669285  0.285668989  2.023340128 -2.3178875429 -0.081514443
## [491,]  1.689760534 -0.628515953 -0.764243010  0.8730984386 -1.825410930
## [492,]  1.383002288 -1.564340592 -0.707637680 -0.6349852108  0.570465104
## [493,]  2.310823507  2.213590654 -0.443856900  2.3661973991 -1.968676178
## [494,] -1.017633122 -0.695649989 -1.620639147  0.6159374994  0.445560536
## [495,]  0.534075967  2.353280633  0.166100274 -0.8657380323 -0.073079626
## [496,]  1.802404767  0.654498938  0.111833817 -2.6905861996  1.041598372
## [497,] -1.519954938 -0.766225511  0.756402636 -0.6577659353  0.338747875
## [498,]  1.835909217  0.435831380 -0.363222262 -0.4702983539  2.853131913
## [499,]  3.899033820 -0.105524086 -0.423141495 -0.5554354590 -1.196637653
##                 PC6          PC7           PC8          PC9        PC10
##   [1,] -0.699052021  1.205930605 -0.0112821754 -0.951136304  0.06884376
##   [2,]  1.082562585  0.297104939  0.6541236384  1.460367449 -1.97080227
##   [3,] -0.273591462  0.706550772  0.5522400135 -1.108877105  0.39950143
##   [4,] -0.091488613  0.204189735 -0.1390066316 -0.553897184 -1.06358860
##   [5,] -0.007442173  0.174931051 -0.0237622262  0.877005786 -0.34335305
##   [6,]  3.244907401 -0.956404400  0.8394687744 -1.120187755 -0.32854440
##   [7,] -1.550747818 -4.296760367  0.1147087503  0.076308038  0.11264444
##   [8,]  0.666348146 -0.343728103  1.6297411962  1.731932503  0.91501294
##   [9,] -0.215335983  0.994814738 -0.5639298659  0.873987844  0.30262761
##  [10,]  0.608329214 -0.238916354  1.9414432948  1.427041982  0.87908444
##  [11,]  0.065805170 -0.336648210 -0.4890413812 -0.855734412  0.40248378
##  [12,]  0.427104111  0.796995802  0.4298004120  0.055732905  0.81961391
##  [13,] -0.044086746  0.558356617 -0.3732863063 -0.776472862 -0.05733289
##  [14,]  0.045098985 -0.228437811 -0.9781711635  0.501169299  1.05301116
##  [15,]  0.073182344 -0.369727664 -0.0365622457  0.934173150  0.04313794
##  [16,] -0.245709946 -0.140319533  1.1591227162  0.374507056 -0.30153308
##  [17,] -0.398797991  0.456883852 -0.0858875841  0.083961779  0.38131272
##  [18,]  0.512602171  0.170704594 -0.0004955918  0.382520522 -0.01634302
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##  [74,]  0.318772435  0.288581097  0.5863189890 -0.115074344  1.15157060
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##  [77,]  0.168956917  0.371426277  0.2721816920  0.872021022 -0.35477613
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##  [82,] -0.220348544  0.476557908  0.8851006124  1.409445784 -0.07484816
##  [83,] -1.325932301  0.404615706 -0.5178500728 -0.067801966  0.30872474
##  [84,] -0.583804461  0.164459485  0.8949131846 -0.595342996  0.36027315
##  [85,]  0.438579931 -0.007219941 -1.3755283360  0.300790860 -0.47270748
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##  [87,] -0.146857943  0.900442801 -0.6904458628  0.758221046  0.34209482
##  [88,]  1.066095519  0.701588698 -0.6834773050  1.414757131 -0.42172504
##  [89,]  1.926358944 -0.352094606  1.0505612383 -2.612703283 -1.85133871
##  [90,]  3.727106767 -1.410372949  1.5989389453 -1.003682439 -1.30376320
##  [91,] -0.386739652 -0.515628703 -0.4418871335  0.272410240 -0.67781039
##  [92,]  0.181161794  0.480639652  0.6739629948 -0.194270467  0.94643404
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## [100,]  1.265292782 -5.667718708 -1.4860087526 -0.168482230  0.29028467
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## [106,] -1.397658047  0.320590832  1.6781782514 -0.958403593 -0.12440780
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## [110,]  0.052036591 -0.075430151  1.0890063344  1.191940516  1.11213757
## [111,] -0.125516910  0.152373343  0.1996052064  0.534582056 -0.51181653
## [112,]  0.854947180 -0.310389296  1.8276489000  1.408901491  0.85119283
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## [114,] -0.394659972  0.055363247 -0.5101268171 -0.183205618 -1.47765878
## [115,] -1.333410806  0.991763475  1.1553908560 -0.430207372  0.31188510
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## [120,]  0.586813590 -0.023255880  0.9616176689  2.051815759  0.40104782
## [121,]  0.430676950  0.301759660  0.4068413484  0.398363802  0.35069671
## [122,]  3.955003607 -0.247527927 -1.2830905199 -1.349016689 -0.17391154
## [123,] -0.349278469  0.700472604  0.1453409104  0.117234501  0.43275883
## [124,] -2.674345806 -3.261019788 -0.2872882543 -0.101535632  0.16693415
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## [139,]  0.656286279  0.033366814  0.5348751480  0.569458650  0.34373254
## [140,]  3.401966508 -1.296914241  0.1317496681 -1.728420407 -2.03101917
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## [149,]  0.951500791 -0.670737394 -0.9335048718 -0.474440722  1.44697926
## [150,] -1.544522634 -3.153324017 -0.0694851449  0.719706086  0.91227088
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## [185,]  3.122986721 -1.642425163  1.6640330915 -1.862040401  0.15451290
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## [191,]  0.295139476  0.277635973 -0.0720742122  0.209281181 -0.04675840
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## [195,]  2.858488189 -0.602247736  0.4226836705 -1.414364471 -0.99024445
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## [200,] -0.913139601  0.773718358 -1.4700206969  1.702256217  1.20539577
## [201,]  0.754019568  0.614219034 -1.2337441022  0.462986417  0.74280789
## [202,]  0.912105531  0.188092699  1.1119029257  1.515112077  1.84583866
## [203,] -0.439256986 -0.991878943  0.5262571601 -0.364986601 -0.51460253
## [204,]  0.251715770  0.942300237  0.6303358867  0.511651358 -0.96832563
## [205,] -0.097522841  0.567132450 -0.7170204523 -1.004355864 -0.15736041
## [206,] -0.126989144  1.136742064 -0.2645825709 -0.078407817 -1.40319020
## [207,] -0.445810295  1.016004064 -0.7228782473  0.157881908 -0.06992481
## [208,]  0.198349051  0.541076559  0.3139118633 -0.366405274  0.70967321
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## [210,] -0.491190393  1.510995199 -1.7665138505 -1.430029207 -1.34354396
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## [407,] -0.793459986 -0.208977856 -0.2790498993 -0.632498338 -0.01581201
## [408,] -1.653008634 -3.818207319  0.3884782135 -0.567863328  0.94678844
## [409,] -0.642408114 -1.271393912  0.4793348092  0.129021082  0.00864990
## [410,] -0.121635347  0.306594486  0.3826322147 -0.710138415 -1.13736479
## [411,] -0.755766824  0.291337924  1.1644164409 -0.682973859 -0.65064762
## [412,]  2.873991942 -1.452321017 -2.6719563186 -0.432878644 -0.74538297
## [413,]  0.555489220  0.201224849 -0.2462561666  2.506361808 -2.05805369
## [414,] -1.724690725  0.153673390  0.5468770515 -1.400266281  0.09499478
## [415,]  0.385055498  0.630416358 -0.5510937708  0.181331425 -0.36965104
## [416,] -0.204289522  1.078257681 -2.3976320636 -1.054880795 -0.16385334
## [417,] -0.457180800  0.442290318  0.1911841203  0.223479633  0.42328312
## [418,] -0.132964814  0.817084369  1.1112663957  1.250054785 -0.87196979
## [419,]  0.710958261 -0.664684754 -0.3966598722 -0.860433991  1.19553564
## [420,] -0.650792148  0.598655561  0.3732704649 -0.366108957 -0.86878455
## [421,]  2.624039316 -1.274953726 -0.8298510389 -2.632167019 -1.26280111
## [422,] -0.246758479  0.237061352 -0.3332948353  0.256445947  0.09498334
## [423,] -0.767067298 -0.254329770  0.1239072111 -0.404761384 -0.97267732
## [424,] -0.980589450  1.158704521  1.2668814452 -1.289844811 -0.41094930
## [425,]  0.308811256  0.137768895 -1.1856437807 -0.736527696 -0.12147038
## [426,]  0.022846455  0.345430872  0.6858750503  0.107999471 -0.90059754
## [427,] -0.089626143  0.502335678  0.6297819108 -0.853389930 -0.32715442
## [428,]  0.152622304 -0.419930050 -1.7957096311  0.645904234 -0.02325321
## [429,] -0.408067381  0.925147226 -0.7250379746  0.500221747  0.30994476
## [430,] -0.099214592  0.515486361  0.9451449603 -0.617236590 -0.24273053
## [431,]  0.405498892  0.174616896  0.0880193831  0.450815554 -0.03665578
## [432,]  0.353099336 -0.334650257  0.1905461554  0.720305798 -0.25808485
## [433,] -1.163496864  0.167083207  0.1535673875 -1.297846357 -0.33379314
## [434,] -0.439543142  0.304690353  1.1129930007 -1.595343342  1.79572280
## [435,] -0.886079790  0.799881668 -0.1690177131 -0.118989492 -0.93617369
## [436,] -1.323805941  1.467581078  2.0537592855 -0.134098485 -0.24686327
## [437,] -0.549642802  0.402449547 -0.3361073676 -0.557090733 -0.38838864
## [438,]  0.055459868 -0.273582377 -0.4275376060  0.206083099 -0.36533272
## [439,] -0.697507478  1.711127147 -2.0364477145 -1.807645949  0.54204188
## [440,] -0.810434615 -0.226350902 -0.4735737202 -0.395841528  0.19001608
## [441,] -0.066153332 -0.297931187 -0.2227371446 -1.016862477  0.63036262
## [442,] -0.019878982  0.083412498  1.5133598265 -0.854816608  1.02995402
## [443,] -0.379401087 -0.181140905  0.1155466053  0.824139936 -0.99979219
## [444,]  1.783772803  0.302164339 -0.4773764193  1.317067729 -0.30570575
## [445,]  0.659393482  0.793912499 -0.8691863389  0.713711696 -0.09791983
## [446,] -0.314053852 -0.778555911 -0.4014396190  0.246232718 -0.33563437
## [447,]  0.548793958  0.294312059  0.0932835331  2.053964645 -2.26258457
## [448,] -1.654325477  0.315797255  0.4601942443 -1.174320773 -0.06454266
## [449,]  0.903086852  1.000171932 -1.4367506776  1.010691366  0.48436937
## [450,] -0.187656057 -0.578855658  2.4274228902  1.272061351  0.22565802
## [451,]  0.452467269  0.455376943 -0.2876506571  0.414722382  2.41018221
## [452,]  0.217665041  0.538428276 -0.8192375581  0.719403134  1.13169362
## [453,] -1.051931076 -0.163110643 -0.4347668561 -0.340412847  0.23879682
## [454,] -0.304689743  0.084186577 -0.9774225195  0.336644491 -1.10973169
## [455,]  0.796737244 -0.234585116  0.4740311202  1.398534027  0.09252151
## [456,]  0.112337240  0.177400347 -0.5549209246 -1.026392282 -1.16949129
## [457,]  0.519943150  0.017655775  0.9269519840  0.779933330  0.79073941
## [458,] -0.716074961 -0.019660815 -0.1325586852 -0.017687686 -1.16841022
## [459,]  0.842042036  0.116907442 -0.1605738252  0.358800628  2.85154915
## [460,] -0.780540175 -0.146312570 -0.4194713392  0.052832283 -0.23706271
## [461,]  0.861546417 -0.428043287  0.3239001757 -0.138428751  1.14241149
## [462,]  0.261546498 -0.541644795 -1.7805527831  1.338671341  0.03896826
## [463,] -0.002543948  0.236349513  0.8527779262 -0.976126092  0.75353383
## [464,] -1.447870619  0.796507804  0.1198723238 -0.160968241 -0.26272859
## [465,] -0.402251944 -0.583430764  0.0836062275  0.109720347 -0.70081842
## [466,] -0.111623486  0.174717173 -0.0950031599  1.356650459 -0.69625457
## [467,] -0.619127597  0.229149092 -1.0156279911  0.051576586 -1.52385263
## [468,] -0.383812181 -0.721514528 -0.7641350287  0.808561050 -0.34551111
## [469,] -0.505718510 -0.210917843 -0.5020709282  0.145411758  0.34540356
## [470,] -0.426191333 -0.040953145  1.8041767406  0.262308216  0.63328365
## [471,]  0.898961102 -0.085421816 -1.2653430571 -0.318436794  0.99170784
## [472,] -0.595435801  0.215069557 -0.8469119923 -0.092162746 -0.11837253
## [473,]  0.737118882  0.606726569 -0.3654640935 -0.629356728  1.36517170
## [474,] -0.564472472  0.478274325 -0.0648249565 -0.046955437 -0.33295729
## [475,]  0.098335601 -0.359437615  1.1743983763  0.310085782  1.14485491
## [476,] -0.113977635 -0.390024406  0.3223171745  0.718505221 -0.66310895
## [477,]  0.331371306 -0.539446311 -1.2285979858 -0.132958952  0.80128771
## [478,] -0.705202043 -0.423852724 -0.9839585095  0.834705815 -0.20720895
## [479,]  2.246847233 -0.942178327 -0.7100563737 -1.933861438 -2.01968676
## [480,] -0.642713173  0.510054073  0.5411217914 -0.648731719 -0.17061857
## [481,]  0.107365823 -0.661696620 -0.0396350702 -0.033311784  1.00434480
## [482,]  0.283436667  0.428801526  0.0152108266  1.367414993 -1.15687998
## [483,]  0.065400487  0.090158465 -0.5254960923 -0.177935666 -0.86873917
## [484,]  0.092906489  0.061647983 -0.0521118436 -0.592007983 -0.99638498
## [485,] -0.531949195  0.721855476  1.5371275051 -1.026919595 -0.42602493
## [486,] -1.012445984  0.169653265  0.6815610725  0.784833196 -0.57115814
## [487,] -0.720914426  0.662413186  1.6026673024 -1.266610191 -0.45200293
## [488,] -1.103671226  0.479647023  0.1349428804  0.104864287 -0.25261647
## [489,] -1.981092306 -4.112394400  0.8408855525 -0.504793020  0.49829923
## [490,] -0.481504071  0.145646764  0.7202406335  0.675654032 -0.07616772
## [491,]  1.286562053  0.571081315 -3.0045908425  2.200112545  1.39462383
## [492,] -0.902497916 -0.187893628 -0.6553447474 -0.159320534  0.54341724
## [493,]  0.939123331  0.395336650  0.5945369778  1.135394818 -1.02127820
## [494,] -0.478821327  0.009144093  0.4088724608 -0.139362745  0.67216639
## [495,]  1.132293919 -0.242035975 -0.1600572798 -0.063539472  1.03349420
## [496,]  0.375523152 -0.638876224 -0.4122664536  0.842437946  0.19833226
## [497,]  0.087127323  0.517119986 -1.0680172500  1.613468206 -0.36078416
## [498,]  0.147861559 -1.086699708 -0.5832488993 -0.327562849  0.42721919
## [499,] -0.842538598  0.222271008  0.3186220417 -0.854300824  1.52295605
##                 PC11          PC12         PC13         PC14         PC15
##   [1,]  1.3542167075 -0.8390318782 -1.335221239 -0.653479827 -1.201760984
##   [2,]  1.1119057703  0.8050495986  0.122044327  0.187913164 -0.118213324
##   [3,]  0.8047119226 -0.1774440450  1.735491254  0.062404790 -0.831311703
##   [4,]  0.4923129469 -0.3571799061 -0.104640411  0.012379354  0.396415206
##   [5,] -0.6793533175 -0.6529626298  0.195948672  0.943956948 -0.035879000
##   [6,]  0.0920774460 -0.3891777643 -1.414937674  0.473655936 -0.135087170
##   [7,] -0.1403325526  0.6861576912  1.947408696 -0.381963997 -0.241390831
##   [8,] -0.1273500471  0.4444874767 -0.064070801 -0.648846009  1.020479941
##   [9,] -0.2185516073 -0.5265172401 -0.721515723  0.184645475  0.650374109
##  [10,] -0.1475182801  0.3546807726 -0.156753465 -0.507987500  0.046211252
##  [11,] -1.1500378056 -0.9664273280 -0.756378824  0.770790917  0.217588839
##  [12,]  0.6229115273  0.3692609465 -0.681177690 -0.645329985 -0.455908973
##  [13,]  0.9589931767  0.4155300305 -1.004390277 -0.396077643 -0.143019564
##  [14,]  0.5629572594  1.1832388210  0.891912349  1.105293361 -0.285804947
##  [15,] -0.7580146110 -0.4245826202  1.238923011 -1.336075334 -0.616922621
##  [16,] -0.2752851337 -0.6342422588  0.038063559  0.650813121  0.672469605
##  [17,] -0.0303815755 -0.2276836198  0.555492026  0.638177913  0.038165845
##  [18,] -0.0001096449 -0.1311612888  1.165236566 -0.257115813 -0.430162545
##  [19,] -0.2276386065 -0.2716628718 -0.027488004  0.125562659  0.191491280
##  [20,]  0.5900361064 -0.3955407747 -0.552963079 -0.756706581 -0.593077800
##  [21,] -0.3618281726 -0.0995618058 -0.308617108 -0.010599219 -0.540934742
##  [22,]  1.2416785196 -1.9296164691 -0.316941644  0.473586995  0.116089027
##  [23,] -0.6517964559  0.3916285650  0.437846597 -0.194436931  0.362632658
##  [24,]  0.0930029515  0.0722223406  0.542685457  0.742737219 -0.731174203
##  [25,]  0.6539650679 -1.4120948005  1.137746124 -0.262194529 -0.988958125
##  [26,]  0.9610677650  0.3392853842  0.363601821  0.392254411  0.086615959
##  [27,] -1.4388112119  0.2947098666 -0.240396086 -0.042407846 -0.575471794
##  [28,] -0.1904098695  0.4618737983 -0.810035489  0.801402904  0.392560201
##  [29,] -0.0861874859 -0.2253184655  0.306845650  0.670217213 -0.211452310
##  [30,] -0.7354258530 -0.7295878981  0.465209606  1.187560482 -0.144557029
##  [31,] -0.3410652176  0.9248756130 -0.843890573 -1.696573356  0.033006063
##  [32,] -0.7417956391 -0.1924596310 -0.691507400 -1.177244687 -0.103323023
##  [33,]  1.3240225724  0.1459418445 -1.152195068  0.094129511  0.576323376
##  [34,] -0.6363827613  0.2013398294 -0.853389892 -1.541378698  0.877812519
##  [35,] -0.5647101277 -0.2781497714 -0.413960054 -0.166268715 -0.064692011
##  [36,] -0.0557013033  1.6127275983  0.817604676  0.742013543 -0.755493157
##  [37,] -0.1473745585  1.0210664472 -0.386338335 -0.379961410 -0.062531924
##  [38,]  0.0545683199 -0.3405148813  0.729673617 -0.569399881  0.128266858
##  [39,]  0.2926528023 -0.2057410002 -0.040422226  0.394097792  0.025946626
##  [40,]  0.2496095897 -0.0084896256  1.016777983  0.561339268 -0.494803252
##  [41,] -0.3415868702  0.3674537160  0.386789037  0.483660330  0.892373684
##  [42,]  0.7419103638  0.1343991905  0.423326385 -0.147659080  0.261871674
##  [43,] -0.7743143786  0.9448473759 -0.546705582 -2.087135617 -1.347601068
##  [44,]  0.6996024208  0.1386716838 -1.552192680  0.775046538 -0.562216191
##  [45,] -0.0257465232 -0.0532927218 -0.631829695  0.238653123 -0.228045333
##  [46,] -1.2094088125 -0.0421318917 -1.099271598 -0.766400435  1.270325525
##  [47,] -0.7719913054 -0.3918782250 -0.860040408  0.400716265 -0.699115286
##  [48,] -0.1415355327  0.1494277456  0.312059750  0.051668201 -0.617662984
##  [49,]  1.0351374441  0.0842553025 -1.032585112  0.042572684  0.715761384
##  [50,]  1.1461639339  0.2696271483  0.202237419 -0.748034704  0.718899176
##  [51,]  0.5914574471 -0.1805550956 -0.130799356  1.232288730  0.119425079
##  [52,]  0.8050018606 -0.8285746824  0.958237627  0.021691457  0.675840847
##  [53,] -0.4823485703 -0.5196757316  0.091033423  0.185206160  0.566789363
##  [54,] -0.3111851965 -0.2682652932 -0.191064621  0.242432434  0.032055615
##  [55,] -0.3758644789  0.2744836298  0.589152917 -0.102375631 -0.481857429
##  [56,] -0.2102820829  1.1897721774  0.968486339 -0.408075652 -0.616024095
##  [57,] -1.1145202622  0.2244600071 -0.329637050  0.462111227  0.256812493
##  [58,] -0.3011498706 -0.0315582847 -1.402890906  1.006464704 -1.138290394
##  [59,] -1.4242167006  0.1433279998  0.097917037 -0.294035807 -0.414302759
##  [60,]  0.4003121787  0.5322677799  0.238867126  0.232023420 -0.373699042
##  [61,]  0.5913373055 -1.3722988555  1.093437443  0.058265384 -0.110344779
##  [62,]  0.0676647440  0.4394543802  0.145957429  0.990822504  0.213467906
##  [63,] -1.6661235844 -1.1075055408 -0.675451505 -0.843087358 -0.384883924
##  [64,]  0.6322992966  1.2426953838  1.685538826 -0.098344647  0.270122605
##  [65,]  0.7187123246  0.0497947336 -0.703424821 -0.494030761  0.033970819
##  [66,]  1.7194039534  0.0241817504  0.812624989  0.473629963 -0.396258468
##  [67,]  0.3909606948  0.2181532388 -0.922774588  0.297166062 -1.063738268
##  [68,] -0.8312379073 -0.4447912377 -0.341236761  0.110573014 -0.041025287
##  [69,]  0.2625753518 -0.2947427427 -0.627647372  0.080097572 -0.760730892
##  [70,] -0.3665735814 -0.4097206373 -0.108628198  0.073184223 -0.090772676
##  [71,]  0.8001178223 -0.1749297355 -0.550125777 -0.532334611 -0.193834878
##  [72,] -1.8065275622  0.2867300611 -0.478050831  0.173049578 -0.246360686
##  [73,]  0.3738386048  1.4043490582  0.204927754 -1.398477383 -0.284826255
##  [74,]  0.8742485773  0.4731417228  0.069473988 -0.560662688 -0.494221072
##  [75,]  0.3654570487 -0.2496111110  1.316868638  0.004635775  0.751451682
##  [76,] -0.4344614023 -0.3492317218 -0.026821200 -1.065953840 -0.349856811
##  [77,] -0.7275441550 -0.0414542095 -0.570086279 -0.127894943 -0.050013588
##  [78,]  0.9297846529  0.1809572905  0.776205175  0.297363806  0.084935402
##  [79,] -0.3629181709 -1.4172229605 -1.002155797 -0.837914492  0.706407373
##  [80,] -0.4405288837 -0.3883241462  0.198186409 -0.239873063 -0.361295344
##  [81,] -0.3312227973 -0.0661387828 -0.305498675 -0.084459534 -0.478657000
##  [82,] -1.3433034846 -0.8671931350  0.549879495  1.041441366 -1.543784784
##  [83,]  0.7202236360 -1.7650286667 -0.456433381 -1.607563782 -0.733024569
##  [84,]  0.2649286247 -0.0595111807  0.665498214  1.085266110  0.073071711
##  [85,]  0.1637868376  0.0730884302 -0.109257381  0.046587021 -0.941923044
##  [86,] -0.2979834176 -0.1696095790 -1.250694966 -0.210713441 -0.027635763
##  [87,] -0.3203484210 -0.3549523442 -0.357737668  0.222970163 -0.003486022
##  [88,] -0.3781899182  0.7875453519 -0.783555128 -0.109995182 -0.244331651
##  [89,] -0.2546215002 -0.6830279664  0.385501679  0.420953245 -0.914380205
##  [90,] -0.7712218947 -0.3563125241  2.135980288 -0.496732104  0.067253243
##  [91,] -0.1068846307 -0.4490392792 -0.453358347  0.529246035  0.188846481
##  [92,]  0.9784669629  0.2768851509 -0.160089582  0.170512329  0.163667288
##  [93,] -0.8823430667 -1.2768575202  0.426396975 -0.558234761 -0.660628360
##  [94,]  0.6236000765  0.3015984129  0.718437980 -0.457154087 -0.425141443
##  [95,] -2.1141127049 -1.4166110367 -1.225308196 -2.174171233  0.531875823
##  [96,] -0.2907156926 -0.0877888353  1.584658204 -0.884686247 -0.351960432
##  [97,]  0.2737122261 -0.1905664558  0.081468644  0.533065842 -0.156606193
##  [98,] -0.3676182167 -0.2522314118  1.213820647  0.623342303 -0.601948686
##  [99,]  0.0656328488 -0.2616204324  0.868081090  0.471712587  0.722633576
## [100,] -0.3615338377 -0.2825688967  1.271609371  0.135190213 -0.042850086
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## [483,]  0.4317369145 -0.2296982819 -0.118146241 -0.266244503  0.512565465
## [484,]  0.3638963142 -0.0005303922 -0.117540676 -0.454244107 -0.079427617
## [485,]  0.4747970273  0.4560764543 -0.165245093 -0.784073520  0.507677120
## [486,] -0.4665881355 -1.4842361392 -0.495078547  1.338317560 -0.517087594
## [487,]  0.5381076467  0.2561772157  0.458505597 -0.974226335  0.333396684
## [488,] -0.2179486181 -0.4411455092  0.204170284  0.355760929  0.508136428
## [489,]  0.2161722957  1.9287359750 -0.136144209  0.125484014 -0.642096358
## [490,]  0.3035417256 -1.1237087667  0.067009928 -0.613998521 -0.277005999
## [491,]  0.3810242318 -0.1666734610  1.296842497  0.069755433  0.899001459
## [492,]  0.9078925399 -0.2282314589 -0.606941580  0.690541851  0.158422637
## [493,] -0.4893926815 -0.4952354525 -1.187569008  0.629952148  0.851133117
## [494,]  0.2327953660 -0.0852221244  0.849059657  0.513800161  0.014909814
## [495,] -1.4649412529  0.5529571694 -0.445646364 -0.065352555 -0.396007604
## [496,] -0.0745516169  1.1884399671  1.009547836  0.010708070 -0.186283129
## [497,] -0.8880318353 -0.8524930333  0.168430308  0.262811058  0.590072028
## [498,]  1.2293121693  1.3237879309  0.805266934  0.853220026  0.093281795
## [499,] -0.9047601387 -1.3682466199  0.233433553 -0.240674932 -0.164573289
# Identifying the scores by their survival status
Diabetestyp_pca <- cbind(data.frame(Diabetes_binary),Diabetes_pca$x)
Diabetestyp_pca
##     Diabetes_binary          PC1          PC2          PC3           PC4
## 1                 0 -0.606240531 -0.398177515  2.391958872 -0.2383106771
## 2                 0  0.352807562  2.830353077  0.002293405  0.3251954957
## 3                 0 -2.178113675  1.159551255  0.002062511  0.1841974664
## 4                 0 -0.926465857  1.912889526  0.678087521 -0.5739676536
## 5                 0 -1.818475684 -0.049966573 -0.037373299  0.3764022678
## 6                 0 -2.163596044 -3.776800002  0.374854500  1.2299026639
## 7                 0 -2.169569628  1.584375518  0.934135847  1.1467231594
## 8                 0  0.410018794 -0.244220845  0.708821575 -0.8335133071
## 9                 0 -2.255473061 -1.532074349  0.440338251 -0.2104653518
## 10                0 -0.015428398 -0.071476543  0.881305129 -0.3898030050
## 11                0  0.823915461  1.518058248 -0.931243547  1.2415755698
## 12                0 -3.359160479 -0.152943084  0.736066936  0.4546072340
## 13                0 -1.935232397  0.678628476  0.298886842 -0.6341401395
## 14                0  1.177495858  0.074250873 -0.021325458 -3.8360558955
## 15                0 -0.889377976 -0.320872696 -1.456080424  0.4881671112
## 16                0 -0.912251229 -0.015763802 -0.631110084  1.5237722632
## 17                0 -1.738441113 -0.697026763 -0.879499871  0.1992750422
## 18                0 -2.320801387  1.317180255  0.440297993 -0.1961042303
## 19                0 -2.528846362 -0.440392279 -0.484142286  1.0442640296
## 20                0  0.342525268 -1.420096473  0.714265293 -1.2900570223
## 21                0 -3.015466346 -0.718654644 -0.403400036  0.8535263483
## 22                0  1.038127484  1.079553946  2.160644012 -0.4933776094
## 23                0 -2.940616400 -0.483146821  0.763133788  1.6755372819
## 24                0 -1.644467931 -0.890240937 -1.396780233  0.3230041143
## 25                0  0.791264060 -1.616856831 -0.107904756  0.9238608396
## 26                0 -2.097172293  0.069325402  0.398220866 -0.0126187072
## 27                0 -0.474682328  1.419714227 -0.643430572  0.1238195558
## 28                0  0.961013814 -0.590986484 -0.832699432 -1.0518672709
## 29                0 -1.651639608 -1.403389957 -0.255879115 -0.5217829965
## 30                0 -1.632691189 -0.377051615  0.159385549 -0.6877574285
## 31                0  1.704135781 -2.164982745  1.656040529  1.4758181910
## 32                0 -1.361771076 -1.469442667  0.147203074  0.9989437926
## 33                0 -1.778087810 -0.784948456  0.695934712  0.6764068099
## 34                0 -0.036878893 -1.966125490 -0.336146676  0.4876191828
## 35                0 -0.123794448  2.470797244 -0.066397476  0.2080989751
## 36                0 -1.195731733 -1.476909516 -0.467396531  1.6590965153
## 37                0 -2.190642492 -0.006794962  0.893728613 -0.5237881368
## 38                0 -1.870313226  0.547837097  0.928549178 -0.8403512741
## 39                0 -2.090087049  0.471952090  1.119812203 -0.3084049804
## 40                0 -2.171239633  1.446853098  0.242581082  0.1839560441
## 41                0 -2.129855827 -0.838105324  0.844233475  1.3860766855
## 42                0 -2.523281797  0.341560385  0.438992299 -0.0852170308
## 43                0 -0.357933376  0.037659480  0.576466477 -3.0074346136
## 44                0 -1.104995565  0.361425481  0.967422919 -1.4551350126
## 45                0 -1.591538264  0.112916916 -0.840580130 -0.2352210252
## 46                0  0.434295880 -1.589273150  1.308210576  0.8172830145
## 47                0 -2.671945733 -0.319568428  0.104285728  1.3133139165
## 48                0 -2.091202644 -0.872289105 -1.012620173  0.7748441511
## 49                0 -2.254899214 -0.739252648  1.101274569 -0.0159292379
## 50                0 -0.878134388  1.470189969 -0.601158520 -0.0801021844
## 51                0 -0.021011650 -0.005302400 -1.404853976 -0.3089410320
## 52                0  0.834590864 -0.417315288  2.939931546  0.4681054531
## 53                0  0.524582441  2.436572199  0.043712945 -0.5700269952
## 54                0 -2.470454763 -1.134212205  0.024439403 -0.0134862709
## 55                0 -2.467441524 -0.485954041 -0.694778037  1.0992146570
## 56                0 -1.987414713  0.796848832 -0.091182111 -0.5010076763
## 57                0 -1.387549504 -1.552782132  0.606928089 -1.6432891717
## 58                0 -1.390369653  0.460850907 -0.730682770  0.6272840900
## 59                0 -3.264509549 -0.046106964  1.417001221  1.6847296908
## 60                0  3.088994827 -0.185924380  2.760913096 -0.6970309121
## 61                0 -0.143569338  0.364387021  3.025695360  0.5429814688
## 62                0  2.047436690 -0.577100770 -1.567957456 -1.4643776885
## 63                0 -0.096600756  1.734086549 -0.663235152  1.5892583589
## 64                0 -1.630750928  0.207938535  0.641837034  0.3520372553
## 65                0 -2.845029164 -0.513618475  1.182463366 -0.1521447367
## 66                0  3.242622839 -2.029394200  1.830341632  3.5751352480
## 67                0 -1.681017891  0.986498165  0.682794823 -1.2862442879
## 68                0 -0.694000679  2.592138654  0.560669429 -0.4785484105
## 69                0 -0.690127562 -0.566605055 -0.849195501 -0.4892813721
## 70                0 -2.228591931 -1.692364661  0.167537626 -1.1248653201
## 71                0 -2.661473973 -0.359873114  1.244245335  0.1811174059
## 72                0 -1.781969331 -0.257651903  0.687450704  0.1196862702
## 73                0  3.730056691 -0.726358544  2.617701225  0.9515743710
## 74                0 -2.439695549 -0.058043391 -0.107332356  0.4106926735
## 75                0 -0.178500718 -0.628523357 -1.969896196  0.7251784543
## 76                0  0.038640360  0.167825198 -1.384302034 -0.2740053592
## 77                0 -1.734280525 -0.850648257  0.368110103  1.4676670179
## 78                0 -1.811395539 -0.081585182  0.175425615 -0.9461092237
## 79                0 -0.588754215 -1.469039759  0.849188809  0.8958811137
## 80                0 -0.139242711  0.487081484 -1.223953428 -0.5577896058
## 81                0 -3.057085303 -0.479155398 -0.564721822  1.3459097769
## 82                0 -0.344622830 -0.448822284  1.100266866 -0.8511454998
## 83                0  1.640178510 -1.877442783  0.113202828 -0.7863296085
## 84                0 -1.411764499 -0.245015010 -1.513446134  1.1898176543
## 85                0 -1.735237498  1.440029988  0.628255695 -1.7207906497
## 86                0 -2.857191161 -1.547391200  0.457155833  0.8409784817
## 87                0 -2.530563661 -1.296205834  0.119801620 -0.2581973722
## 88                0  4.390366151 -0.142393231  1.193938080  2.6964968666
## 89                0  1.947730145 -2.690653586  1.281869023 -0.5479370100
## 90                0 -0.816890241 -0.045470328  0.298567424 -1.2925834993
## 91                0  0.254945832  0.185179463 -0.957530453 -0.3364926057
## 92                0 -2.390543199  0.054539644  0.361740526  0.3652325365
## 93                0  2.885642134  1.953307583  1.296962070 -0.8852212105
## 94                0 -2.664593794  0.283453501  0.124848436 -0.3325446868
## 95                0  2.576103208  0.325042883  0.549106714  0.4821520036
## 96                0 -1.808863748  0.053846731 -1.874778296  0.9924474228
## 97                0 -1.376807675 -0.876752479 -1.128509078  1.1678901791
## 98                0 -2.353607923 -0.253691264 -0.811525060 -0.3154152494
## 99                0 -1.034724763 -0.794762866 -0.851461100  0.1715526566
## 100               0 -1.268043388 -3.673889855  0.601597092 -0.8185845228
## 101               0  1.404555441 -0.130684788  0.019379515  0.1847125097
## 102               0  0.654684080 -0.149391390  0.341588253  0.9995112755
## 103               0 -3.026724937 -0.353395563  0.640199687 -0.2055654193
## 104               0  4.161152579 -1.060125804  1.365196755  1.6451142572
## 105               0 -1.442872036 -0.827727702  0.819631000 -0.9660751550
## 106               0  1.784056713 -0.326883881 -0.490750130 -0.3254687765
## 107               0 -1.783712826  0.221220113 -0.871391056  1.3896021524
## 108               0 -1.948970227  0.544273766  1.584398637 -0.4126460721
## 109               0 -0.951160944  1.819740233  0.691418541 -1.1744493066
## 110               0  0.772646639  0.188908739  1.680305228 -1.7932047910
## 111               0 -1.709492881  0.312250858 -0.312767456  0.5988007679
## 112               0 -0.793878346  0.193215549  0.564407852 -0.3075107646
## 113               0  0.139798601  0.247298590 -0.724863070 -1.1840295569
## 114               0 -0.779046200  0.866434152 -0.942668213  0.0172144532
## 115               0 -0.026950229 -1.352287682  0.724883346  1.0781430348
## 116               0 -3.116399073 -0.084701052  0.467065546  0.4774100985
## 117               0 -1.742698849 -0.475757127  0.156668065  1.3126054954
## 118               0  0.012364592  0.296063473  0.990343944 -0.9297619879
## 119               0 -1.725964768  0.781967552  0.252492638 -0.7301602435
## 120               0 -1.581609441 -0.895991463  0.366757932 -0.3520358538
## 121               0  0.147873526 -0.856057007  1.855554391  1.3881977901
## 122               0 -1.683501360 -3.653644591  2.795129364 -0.1609395875
## 123               0 -1.628576805 -1.432365478 -0.204278125  0.9527911893
## 124               0 -1.589753545 -0.881332184  1.243319806  1.3507610216
## 125               0 -2.854180917 -0.741177528  1.086621042 -0.0784405597
## 126               0 -2.264444604  0.998472076  1.035742190 -0.2664711191
## 127               0  0.431575684  0.829226451 -2.582503322  0.7352084789
## 128               0 -0.742633888  0.009111216 -0.418345027 -0.4448386432
## 129               0 -2.598843801  0.099303135 -1.056448365  0.8377463309
## 130               0 -1.944399388  1.254394641  0.701747929  0.0707114060
## 131               0  3.472329321 -2.108915719  1.435252511  1.4614550157
## 132               0 -2.249828647 -0.353146263  1.143217517 -0.3740439865
## 133               0 -1.994339942  1.832077378  0.480576345 -0.0722663644
## 134               0  0.188427628  1.010925025 -0.052114399 -1.1800855322
## 135               0 -2.803936962 -0.204523764 -0.804678917  0.9965320092
## 136               0  1.035595103  2.226956775  1.079373890  0.8164854195
## 137               0 -1.671824636  0.076665990 -0.329999396  0.7803893108
## 138               0 -0.346170376  0.861920307 -0.133350560  0.1300820294
## 139               0 -2.557398366  0.824601666  0.752026156  0.4062313562
## 140               0 -1.394396275 -0.212588952  1.191202093 -0.8995454238
## 141               0  2.583933566 -1.462638195  0.826134069  3.2416378323
## 142               0 -0.580435542  1.038743517  0.677212523 -1.4061559002
## 143               0 -0.849555175 -0.808098669 -0.002740538 -0.3015956994
## 144               0  0.899210334  1.028029511  0.183866654 -0.1132551359
## 145               0 -2.157228259 -0.893735977 -0.387216640  1.0056631031
## 146               0 -3.086308797 -2.839021528 -0.020699659  0.3790418354
## 147               0 -1.243519253  1.260717741 -0.033624856 -0.6021881365
## 148               0 -0.701617729  0.168885630 -0.690378614  0.1881852824
## 149               0  0.317352103  1.997921657 -0.245422675  0.0936719338
## 150               0 -3.110998303 -0.946812420  2.624902862  1.0770449361
## 151               0  0.078495165  2.994125587  0.489930262  0.7383058668
## 152               0  1.357741720  1.116954924  2.495577403  1.4626905239
## 153               0 -1.688823044  0.006090956 -0.845882313  0.5531555897
## 154               0 -2.611716246 -0.321304826 -0.757429501  0.2341636523
## 155               0 -0.545398472  0.272488728 -0.762116123  0.0517122053
## 156               0 -1.454176234 -2.399284630  1.502526484  1.0983568972
## 157               0  0.484732685  0.528623641 -0.645874266 -0.3868285438
## 158               0 -0.803888282  1.601413427  0.497685615 -0.5235847468
## 159               0 -1.751222071 -0.262367903 -0.716133023 -0.0052585983
## 160               0 -0.849667858 -0.275006604 -0.212547607  0.5925189197
## 161               0 -2.295745564 -0.629116232 -0.303982109  0.5871351819
## 162               0 -1.315602022  1.304510639 -0.051343387 -0.3163000027
## 163               0 -2.967411166 -0.747849910 -0.391587682  0.6629342591
## 164               0  2.195659364 -1.805500203  2.149984158  0.5520245367
## 165               0 -1.799640531 -1.723079996 -0.400057155  0.1096315646
## 166               0 -2.267499864 -0.525220072  1.208057227 -0.9428590283
## 167               0 -2.438326584  0.718375448  0.157691966  0.2324775139
## 168               0 -0.546921486 -1.772312229 -1.128047938 -0.0232092254
## 169               0  0.102371470 -1.391005871 -0.699606237  0.2398939747
## 170               0 -2.061535045 -0.793041855 -0.116356239  0.3296276930
## 171               0  0.883143650  0.511961522  1.161720466  0.3007184118
## 172               0 -0.356799882  0.797789859  0.145245829 -1.6067597552
## 173               0 -1.755012468 -0.430409230 -0.427488895 -0.5688187753
## 174               0 -2.894482756  0.635819430  0.094830960  0.2482351273
## 175               0 -0.923883713  0.601063567 -1.012393458 -0.5558313106
## 176               0 -1.478856550 -0.212091148 -1.268966398  0.1516886139
## 177               0 -1.805528690 -0.014847911  1.661079537 -0.5269836016
## 178               0 -0.422256543 -0.627739614 -0.460563085 -1.9893588210
## 179               0 -1.020058776 -0.464222349 -0.989049262  0.0909406158
## 180               0 -1.556605309 -2.160786697  0.329640950  0.0632094951
## 181               0  3.297043938  0.257403752  0.702760923  4.4437413682
## 182               0 -1.788449506 -0.948724811  0.409171943  1.0256007733
## 183               0 -0.756377615  0.305357620  0.096031373 -0.4377881033
## 184               0 -0.570563606  1.549852982  1.208662360 -0.2808114710
## 185               0 -0.257019080 -2.027634499 -0.414398727  0.3124974368
## 186               0 -0.271171925  1.821710004 -0.334563507  2.0933860485
## 187               0 -0.763464412 -3.580897547 -0.172448510 -0.1829732212
## 188               0 -0.883916741 -1.228277667  4.468215046  1.1017908425
## 189               0 -3.017321856 -0.788395925  0.532573347  1.4905753557
## 190               0  0.611986059 -0.238083787  2.316491429  1.0489233734
## 191               0 -2.086475486  1.458985422  0.759244072 -0.4289296933
## 192               0  2.428000404  0.418572159 -1.462223680  1.7315978535
## 193               0 -0.520185212  0.567388000  1.077594459 -2.9456719155
## 194               0  2.207916216 -2.026086871  1.427852767  0.9251153853
## 195               0 -2.326459486 -2.675708313  0.133474200  0.2200661415
## 196               0 -0.521215600  2.642848193  0.738517847  0.4490453776
## 197               0  0.607865029  0.990739780  0.690047346  1.9810030789
## 198               0 -1.291605708 -0.787622292 -0.221818085  0.2529716802
## 199               0 -1.051226094  1.105342946 -1.168295658 -0.0544443358
## 200               0  3.049655649 -2.730552238  1.201869965 -3.6041287571
## 201               0 -1.464700168  0.676740148  0.461339376  1.0602982676
## 202               0 -1.493422839 -1.415789249  0.241184125 -0.8103577693
## 203               0  0.508442506  0.539205813 -2.066455776  0.7948061881
## 204               0  0.553542092 -1.314213338  1.085500527  1.6044330187
## 205               0 -1.393643797  0.701025099  0.157018273 -0.6902431701
## 206               0 -1.269006440 -0.345983680  1.128477021  1.8021605504
## 207               0 -1.666597493 -0.897277796  0.034401290 -0.1304623806
## 208               0 -2.541970336  0.424683697 -0.173683839  0.1667384009
## 209               0 -0.008667450  0.025044387 -2.382330806  0.0502543901
## 210               0 -0.733884653 -1.073001545  0.817052301  1.0032343351
## 211               0  0.608717580 -0.943132830  0.688260993  1.5849459747
## 212               0 -0.062193723  0.357247042  1.069635017 -1.2617246597
## 213               0  0.572044587 -0.490406239  0.654347667 -0.8256869220
## 214               0  0.982273549  2.294932448 -0.501762162 -0.3287288579
## 215               0  0.882623294  2.557226090 -0.696808473  1.5497699526
## 216               0 -2.117010028  0.353454518  0.227655627  1.1743237896
## 217               0 -0.256692316  0.049592924  0.434872059  0.2673499998
## 218               0 -2.732321561 -0.337249667  1.159728774  0.1685290846
## 219               0 -1.846751940 -0.706287812 -0.569817532  1.1216985736
## 220               0 -1.043470353 -2.565738168 -0.623340441 -0.4766027752
## 221               0 -2.382000805  0.291127022  0.919740710 -0.2857477079
## 222               0  1.144857550 -1.186676459 -1.500924826 -0.3645461204
## 223               0 -1.531959612 -0.320759806 -1.916593008  0.8711207223
## 224               0 -1.845478412  0.806909386  0.251765663 -0.3512132315
## 225               0 -2.067526697 -1.918502697 -0.594222471  0.0369927925
## 226               0 -2.418598931 -1.996005778 -0.015538742  0.9366134594
## 227               0 -0.822216458  1.464712002 -1.178019349  1.1732044943
## 228               0 -0.870883801  1.030420889 -0.458348715  0.7574458845
## 229               0 -0.576904708  1.755819050 -0.289082725 -0.2727532191
## 230               0 -1.163941312 -3.194890535  1.084414059  1.6392711856
## 231               0  3.038055583  1.130922831  0.864625218  1.3594992601
## 232               0  0.383520505  0.858421717 -2.594315676  0.9258005681
## 233               0 -0.444997077 -0.517146338 -0.636940025  0.0139587715
## 234               0 -0.956829210 -2.294508281 -0.378524270 -0.1317523401
## 235               0 -1.807362784 -0.232467309  0.706604925 -0.2680408087
## 236               0 -2.378991971 -0.145698018  0.388001762  0.6406114412
## 237               0 -2.274945670 -1.642597112 -0.454900502  1.1518200117
## 238               0 -1.970890979 -0.033946735  0.439050414  0.8154459171
## 239               0  0.912621163 -0.248853102  3.608037871  0.7640046563
## 240               0  0.831456232 -0.080365135  1.536622050  1.0408366519
## 241               0 -2.631392943 -0.592305729 -0.358257561  1.1236568688
## 242               0  0.627074325 -0.101929617  0.079287476 -1.1067436215
## 243               0 -2.755005427  0.154565914  2.607045372  0.6722460396
## 244               0 -2.883203322 -0.199058770  0.313328402  0.8469611438
## 245               0 -1.447274453  1.624769434  0.649773461 -1.0694759508
## 246               0 -1.679519748  1.637183008  0.451251502  0.4875038236
## 247               0 -1.112149620  0.197278162 -0.375900952  0.0264765903
## 248               0 -1.013524437  1.982305770 -0.017446889  0.0901840170
## 249               0 -0.991118281  1.707325452  0.712634467 -1.0852335641
## 250               1  4.428265216 -0.732919739  2.005357954  1.2367665473
## 251               1 -1.614350416  1.820060587  0.541908706  0.2578643124
## 252               1  0.880246262 -0.154326892 -1.288939063 -0.6640533241
## 253               1 -1.875303944  0.558706133  0.666350910  0.4836659003
## 254               1 -0.714789462  0.305537553 -2.302561737  0.0681158907
## 255               1  2.334774276  2.704093075  0.339390019 -0.0318736422
## 256               1  2.552811445  1.872739797 -0.574289652 -0.0561718904
## 257               1  1.944551322 -0.740777721  1.626755679  0.3714668369
## 258               1  1.445789756  0.472806518 -0.751851836  0.6841453858
## 259               1  1.094230151  0.465482101 -1.851676556  0.0068573145
## 260               1  1.237333632 -0.034239281 -1.792583816 -0.8412041068
## 261               1  2.529184930 -0.175083321 -0.156122271 -0.7878152268
## 262               1  2.569047517 -0.127111586  0.741166846 -0.3159627795
## 263               1  0.190814865 -0.374294931 -1.835094087  0.0581564364
## 264               1  0.790737539 -0.127953917 -1.619547830  0.8176314567
## 265               1  1.110053840  1.417747125 -1.371679594  2.0190129153
## 266               1 -1.119104859  1.351207556  0.607242070  0.2969278326
## 267               1 -1.357124742  0.549458308  0.028927390 -1.2954366968
## 268               1  0.616068372 -0.174215049 -2.800934853  1.1595770959
## 269               1  1.310460566 -0.587947491  1.084535139 -2.2347725673
## 270               1  0.458935894  2.690669078 -0.123515018  0.0176524780
## 271               1 -0.996924504  1.641498550  1.470054123  0.2257874147
## 272               1  2.140230215 -0.866617163  0.526516846  2.9046079230
## 273               1  4.457069978 -0.494403259  0.970378573  1.3817161350
## 274               1 -0.666539959 -3.828176979  0.008926577 -0.4419553100
## 275               1 -1.541869231  0.869588692 -0.084186918 -0.8813222034
## 276               1 -0.143239703  0.569782309  0.319633597 -0.8466109700
## 277               1 -0.501110874 -0.995595840  0.446656300 -0.4042375283
## 278               1 -0.107107881  1.617387833 -0.249359837 -0.0116262450
## 279               1 -0.561078551 -0.226418683 -1.049244728 -0.8118788322
## 280               1 -1.396723892  1.240234353  2.002637315  0.1711781393
## 281               1  0.646480535 -2.179516284 -0.408560794 -1.0570230599
## 282               1 -0.439698862  0.069669038 -1.982025106  0.1158479111
## 283               1  1.370494088 -1.194375689  0.857329955 -0.4201467581
## 284               1  0.695394229  0.612509068 -0.558716802 -2.5018208369
## 285               1  0.165762902 -0.881589866  0.203524594  0.4722527203
## 286               1 -0.147980407  0.335017480  0.107068200 -0.3587166242
## 287               1  0.734673295 -0.722542517 -0.367272623 -1.7800948595
## 288               1  0.438006650 -0.202127137 -0.919653639 -1.2737697695
## 289               1 -0.829013043  1.474232758  0.034518910 -0.5734206544
## 290               1  2.833537970  0.386978912 -0.348320540  0.2418215081
## 291               1  0.201216164  1.289391972  1.349836433 -0.8420173343
## 292               1  0.107365207  1.295411839 -1.226272207 -0.2884173406
## 293               1  0.004486861 -0.112389812 -1.012442137 -0.7099291764
## 294               1  3.839594442  1.222279205 -0.198441097  2.1012570498
## 295               1  2.409949802 -0.932314848 -0.859022067 -3.2002040769
## 296               1 -0.129783177  0.152960930 -0.231536561 -0.1837164719
## 297               1  2.705561285  0.787382924 -2.004343029  0.7839861379
## 298               1 -0.122989304 -0.405698723 -1.500166688 -0.3288034971
## 299               1  2.486750398  0.034906840  2.997751969 -1.3772655827
## 300               1 -1.263723371  2.157412326  0.064034677 -0.1572022738
## 301               1  0.247663844  0.013667682  1.203674645 -0.7798042892
## 302               1 -1.615147588  0.535827841  0.876844304 -1.1371862152
## 303               1  0.788147811  1.695184711 -0.051008219  0.2036491818
## 304               1 -0.145496013  0.598493755 -1.785937598 -0.1776136468
## 305               1  0.374167504  0.044847437 -1.769197012  2.0288660749
## 306               1  0.216686851  0.944572528  0.532783011 -0.4174388474
## 307               1 -0.970090272  1.376763254  0.104374062 -0.1512884301
## 308               1  1.011360802  2.869558263  0.264338584  1.2174866402
## 309               1  0.335455960  0.024856944 -1.441289668 -0.6153653958
## 310               1  0.779038416 -0.821471024  0.174741497 -0.6430344052
## 311               1  1.239550895 -0.786244220 -0.409069421  0.0582451742
## 312               1 -0.619765407  1.626242412  0.511906751 -1.1845767570
## 313               1 -1.085765196  0.637582815 -0.307456383 -0.3309066745
## 314               1  1.252051299  0.094037041 -2.007748112  2.0059232209
## 315               1  1.576130020 -0.792809607 -2.169803465  0.3703292871
## 316               1 -1.724178861  0.030380919  0.348602751  0.1642768101
## 317               1  2.928234792 -1.598205619 -0.207195212  0.7868930206
## 318               1  2.337052664  0.703104332 -0.104162615  0.3716043467
## 319               1  1.186018770  0.548877227 -1.551560380  0.4491179466
## 320               1  1.395664161  2.424887769 -0.863757415  0.4538659318
## 321               1  0.570207924  1.334923877 -1.660732661  1.0042495179
## 322               1  2.681061281 -1.882530282 -0.273926196 -1.7493576510
## 323               1  3.124464720 -1.131762190  0.519984527 -1.3079166875
## 324               1  3.293343026  0.273184647  2.181847363  0.7496439633
## 325               1  2.483991926  0.720932692 -0.499030878 -0.3696884785
## 326               1  0.610662789 -1.254233726 -1.402942519 -1.5240174995
## 327               1  0.249460741 -0.345003461 -1.243633875 -0.2830147377
## 328               1  1.020133169  1.241771946 -1.503247274  0.0915155033
## 329               1  0.846768298 -0.423020032  0.108279770 -2.6045923410
## 330               1  0.131310551  0.400038015  1.038631752 -0.3144548472
## 331               1  4.323580385  0.605692051  1.770771844 -1.1806992865
## 332               1  3.365603536  0.154891277 -1.819942040  2.6670670612
## 333               1  1.081331546  0.004681426 -2.092878227 -0.9440441861
## 334               1  1.392871180 -1.818817943  0.982450341 -1.0097886177
## 335               1  1.558711110 -0.382111499 -0.521409763 -1.8929124660
## 336               1  1.358820498 -0.545945989 -1.583989308  0.4267138366
## 337               1 -1.478176356 -0.616929828  0.060363292  0.1384875766
## 338               1 -0.560862141 -0.408870550 -1.897105946  0.9498247625
## 339               1  1.211323509 -1.119850406 -1.897823114 -0.0223389307
## 340               1  3.188982107  1.105228332  1.000570166  0.0007679735
## 341               1  0.830613036 -1.263459430 -1.394502673 -1.3245321957
## 342               1  1.012927695 -0.590080592 -1.739806825 -1.0087809119
## 343               1  2.020433744 -0.830024702  0.485250531 -0.6169646693
## 344               1  2.407338547 -0.489757455 -1.979917073 -0.5188097185
## 345               1  0.475127038 -1.091822277  0.175061155 -1.5952860434
## 346               1 -0.213785629  1.481297141 -0.415736130  0.0099163381
## 347               1  1.558734780 -0.303984494 -1.232828715 -0.4576764899
## 348               1  4.227030922 -1.832555837 -1.310041659 -0.3330334531
## 349               1  2.656334459 -0.604557584  2.530279940 -0.0367057694
## 350               1  0.726024403  1.367212442  1.306451601  2.2402648580
## 351               1  3.332928179  0.874275937 -0.510585761  0.3399928835
## 352               1  2.627044602 -1.272799558 -1.203941524 -1.9604414989
## 353               1  0.244983452 -0.934605240 -0.379501864  0.8160913161
## 354               1 -1.188635994  2.057084690  0.932101492  1.0583907227
## 355               1  0.440089868 -2.159280045 -0.170489824 -1.2865705529
## 356               1 -2.380575687  0.419201239  1.131738939  0.9543133368
## 357               1  2.481286327 -1.505938227  0.154523113 -1.1499600805
## 358               1  0.590847610  1.481607533 -0.330456040 -0.3742661969
## 359               1  0.859674835  0.224618937  0.723350292  0.1763710809
## 360               1  1.098708285 -0.706127765 -1.371610423 -0.2226073032
## 361               1  0.304041016  0.149029540 -0.862073558 -1.1771298978
## 362               1  3.688052904 -1.228265340  0.766494002  0.4152925182
## 363               1 -1.093890375  0.841985018 -0.691385355  0.2802997225
## 364               1  1.162007947  2.689649882  0.399501888 -0.4276726951
## 365               1  0.716305849  0.971723616 -1.246705978  0.2770922071
## 366               1  0.945557309  1.466964888 -0.499784306 -0.2881052136
## 367               1  0.936810306 -0.684514330 -0.235109386 -0.3144352873
## 368               1  0.756864170 -1.112961961 -1.648284296 -1.0845207097
## 369               1  1.187075542  2.668097591  0.489052606 -1.1730139425
## 370               1 -0.958304164  2.752712614  0.495701483  0.5697080804
## 371               1  0.338366666  0.027897223 -1.346380482 -0.6392921644
## 372               1  0.436905369  0.034992092 -2.024434921 -0.8398901872
## 373               1 -1.600906161  0.439500356 -0.309497806 -0.1530583599
## 374               1 -0.606678606  0.563762899 -0.695949729 -0.5870922848
## 375               1  1.522220793  0.493281237  1.575757643 -0.3221596865
## 376               1 -0.616819649  2.090771144 -0.002750341  0.1634282876
## 377               1  0.769372279  0.185398309  1.496890173  0.5312652762
## 378               1 -2.022349370 -2.048334134 -0.647282107  0.2351810505
## 379               1 -0.332153197 -2.184156788 -1.556956308 -0.1086400088
## 380               1  0.343466327  1.627814306  0.122741835 -1.1021161095
## 381               1  1.959969115  1.091149276  2.277542800  0.0993156207
## 382               1  1.096291828  0.709852675  1.593834506  1.4634066644
## 383               1  4.788824260 -2.333262072  0.261770086  0.8477663156
## 384               1  2.953241175 -2.121439076 -0.048298751 -1.6776988621
## 385               1  3.953080801  0.629581988 -0.692826059  2.2779470993
## 386               1  1.596020067 -1.408254495 -0.397428301  0.3803709652
## 387               1 -0.507005542 -0.383314679 -1.171693175  0.1962431375
## 388               1  1.767976688  0.567885928 -0.798842893 -0.9987266776
## 389               1  0.037281413  1.333228592 -0.187101258  0.1533350331
## 390               1  0.842170869 -1.646721805  0.217442553  0.6300578900
## 391               1  0.843783436 -0.168018219 -1.345537209 -0.6969778068
## 392               1 -1.934960875 -0.655726038 -0.236334786  0.1549388092
## 393               1  3.069766792  1.309777123  1.029174181  1.3340146409
## 394               1 -0.841372906  0.157761785 -0.470256792  0.4125445442
## 395               1 -1.063573636 -0.644591049 -1.939569329  0.7850486027
## 396               1  0.049601141  1.167036501 -0.694321422 -0.4516498774
## 397               1 -1.665456349 -0.584826567 -0.254078242 -0.2930498872
## 398               1  4.322602450  0.166886465  1.222695814  2.7242358719
## 399               1  1.398007661  1.378333503 -1.596237858  2.3364772965
## 400               1  4.437649222 -0.715172615  2.322672413  0.0916621613
## 401               1 -0.352878266 -0.053332793 -1.530184164  0.2519763169
## 402               1  1.725305338  0.277819244 -1.963587571  1.1230063726
## 403               1  1.092839134 -0.730026982 -2.009400660 -0.7412578824
## 404               1  0.394293776 -0.324842332 -1.227434010 -0.1590133079
## 405               1 -1.893315001  0.302817887  0.585531405 -0.6345351052
## 406               1  0.244260942 -0.696043389 -1.334559076  0.0117163162
## 407               1  0.262897634 -0.418087829 -1.817375556 -0.2277316974
## 408               1  1.370436207  2.004000370  2.828527245  0.6850675778
## 409               1  2.106911367 -0.303486380 -1.800729820  0.2679496324
## 410               1 -1.102330387  1.825938425  0.853051744  0.0897897746
## 411               1  0.436767359  0.197939844 -1.500376363 -0.3962817798
## 412               1  0.343019654 -3.285459399 -0.777514563 -3.5747529463
## 413               1  1.915190881  0.861268913 -0.885127958 -0.0738524494
## 414               1  2.995598088 -1.413013541 -0.293167506  0.7759848475
## 415               1 -0.908553129  0.516115029  1.427819246  0.1301188018
## 416               1  1.048686817 -0.921710601  1.508217286 -0.9148171595
## 417               1 -1.182920861 -1.100238113 -0.845196570  0.4513984700
## 418               1  0.732075729 -0.997386463  0.882639785  0.3266155714
## 419               1  0.896131733  2.221707870 -0.481093944  0.5771974081
## 420               1 -0.016016455  0.229038019 -1.089130329 -1.1839138723
## 421               1  1.985146731 -3.729851863 -0.253117659  0.6158646740
## 422               1  1.342184972 -1.668292784 -0.591287663 -0.9597336514
## 423               1  0.582869712  0.418757300 -1.049446695  0.4239897292
## 424               1  1.003746316  0.780749820  1.710634104 -1.1595026219
## 425               1 -0.170756689  1.691970101 -0.875365013  1.0116387732
## 426               1  0.003398704  1.701593215  1.212299410 -1.6990415811
## 427               1 -0.806248037  1.560178360 -0.259360815 -1.6125579143
## 428               1  0.172106286  1.031908693  0.449529448 -2.7843021782
## 429               1 -2.053476354 -1.086158635  0.169746310 -0.4682199706
## 430               1 -0.353274366  1.005053560 -0.099172790 -1.2810416473
## 431               1 -1.778921791  1.134956140  0.497739412 -0.2208653900
## 432               1  0.617449086  1.238819685  0.234010417 -2.3231879285
## 433               1  1.530034315 -0.880130910 -1.165285581  0.8824819929
## 434               1  3.178031465  1.327516037  0.703053352 -0.4508637112
## 435               1  0.921401559 -0.062030640 -0.328461798 -2.0227796360
## 436               1  0.645929806 -0.914372688  1.199267301  0.1029754553
## 437               1 -1.513291067 -0.355212540 -0.780134825  0.1040292921
## 438               1  0.132122691  0.968554332  0.447934022 -1.1222260615
## 439               1  2.530822040 -1.328210092  2.453807714  1.4497896259
## 440               1  0.562399002 -0.771907755 -1.636043491 -0.4974467350
## 441               1 -1.123704946  0.914167912 -0.907350383 -0.7428138298
## 442               1  2.899339955  1.881053308  1.647439940  0.1868405321
## 443               1  1.447296233  0.330944745 -0.643520028 -1.7617527688
## 444               1  1.327063713  3.277391288  0.226312339  0.6305047930
## 445               1  2.165907466  1.471900731 -1.152179873  0.8332512985
## 446               1  1.044641541 -0.377937506 -1.133829343  0.0870661914
## 447               1  1.202873706  1.369949600 -0.924422395  0.4426866404
## 448               1  1.490951035 -0.713930296 -0.229577109  0.1131247335
## 449               1 -0.108700619  1.153946123 -0.854321204  2.1021474792
## 450               1  1.683964972 -0.790327268 -1.018476004  0.6174797579
## 451               1  1.931366277 -1.603163544 -0.194502178  0.4727238386
## 452               1 -1.473569098 -0.574590854  0.568281023 -1.4621299079
## 453               1  1.364876540 -1.051197480 -1.313240037 -0.6750350200
## 454               1 -0.565196904  0.195531217  0.059636248 -0.5501112574
## 455               1  3.459769850  1.540421738 -0.459525432  1.8118430737
## 456               1 -0.059530828  1.410558792  0.112923574  0.3642406234
## 457               1  3.684124970  0.464497623 -1.418638368  2.3096513296
## 458               1  0.477071264  0.259333050 -0.305277326 -0.0280787157
## 459               1  0.867484119  0.725284009  0.270935732 -1.5659574126
## 460               1  2.690776727 -1.740553145  1.266296499  0.6130126752
## 461               1  1.651209677  2.187579030  0.232289043 -0.7326918256
## 462               1 -0.418698730 -1.058785873 -0.393032386 -1.1235719545
## 463               1  2.515538347  2.389344930  1.410061259 -0.4066371001
## 464               1  2.432114603 -0.914542482  0.735798241 -2.1133464616
## 465               1  0.415237535  0.090824792 -1.273294668  0.3443790249
## 466               1  1.793212788 -0.795405753 -1.133471047  1.6752513367
## 467               1  0.328231726  0.457981356 -0.276875308 -0.6812398001
## 468               1  1.331171631 -0.531351049 -1.150398712 -0.8329382166
## 469               1  2.697729195 -1.480153820 -1.199178400 -1.5980817521
## 470               1  0.523474164 -0.771320855 -1.904139818  0.1347213290
## 471               1 -0.214088712  2.025456501  0.821672818 -0.2662549567
## 472               1 -0.450705924 -0.850755818 -0.949864966 -0.6693009064
## 473               1  0.096310378  1.512768053  0.367931078 -1.1259075609
## 474               1  0.803328451 -0.746689199 -0.569667428 -1.3011508030
## 475               1  0.892743466 -0.438305982 -0.047196957 -1.4950940245
## 476               1  0.356060813  0.492043653 -0.692537974 -1.3639765858
## 477               1  1.045887851  0.916963816 -1.063866425  0.4360234775
## 478               1  1.635114048 -0.769897410 -0.032617289 -1.3337104375
## 479               1  3.384171406 -3.748637982  2.117821826  0.4816992405
## 480               1 -1.291011741 -0.113779752 -1.823243054  1.0629823077
## 481               1  3.533787560  0.724417347 -0.959931323 -0.2528729747
## 482               1  2.879625120 -0.654049208 -1.121197954  1.0800265997
## 483               1 -0.850903456  1.623654034  0.569517802 -0.9830378604
## 484               1 -1.318214773  1.976303610  0.201731755 -0.2684015238
## 485               1  0.361009385  1.032882869  0.362646310 -0.8526734757
## 486               1  2.419910959 -0.467962508  1.361856102 -1.6957131333
## 487               1  0.848012547  1.207791455  0.136793317 -0.8840868077
## 488               1  1.928009671 -0.712802251 -0.191821919 -2.1249145430
## 489               1 -0.563124316  0.759359402  0.919304979 -0.2326071543
## 490               1  2.466669285  0.285668989  2.023340128 -2.3178875429
## 491               1  1.689760534 -0.628515953 -0.764243010  0.8730984386
## 492               1  1.383002288 -1.564340592 -0.707637680 -0.6349852108
## 493               1  2.310823507  2.213590654 -0.443856900  2.3661973991
## 494               1 -1.017633122 -0.695649989 -1.620639147  0.6159374994
## 495               1  0.534075967  2.353280633  0.166100274 -0.8657380323
## 496               1  1.802404767  0.654498938  0.111833817 -2.6905861996
## 497               1 -1.519954938 -0.766225511  0.756402636 -0.6577659353
## 498               1  1.835909217  0.435831380 -0.363222262 -0.4702983539
## 499               1  3.899033820 -0.105524086 -0.423141495 -0.5554354590
##              PC5          PC6          PC7           PC8          PC9
## 1   -0.849227041 -0.699052021  1.205930605 -0.0112821754 -0.951136304
## 2   -1.543227577  1.082562585  0.297104939  0.6541236384  1.460367449
## 3   -0.406924179 -0.273591462  0.706550772  0.5522400135 -1.108877105
## 4    0.514738888 -0.091488613  0.204189735 -0.1390066316 -0.553897184
## 5    0.784162415 -0.007442173  0.174931051 -0.0237622262  0.877005786
## 6   -0.245668765  3.244907401 -0.956404400  0.8394687744 -1.120187755
## 7   -0.043214444 -1.550747818 -4.296760367  0.1147087503  0.076308038
## 8    0.941381915  0.666348146 -0.343728103  1.6297411962  1.731932503
## 9   -0.874913480 -0.215335983  0.994814738 -0.5639298659  0.873987844
## 10   0.899067779  0.608329214 -0.238916354  1.9414432948  1.427041982
## 11   0.805118711  0.065805170 -0.336648210 -0.4890413812 -0.855734412
## 12  -0.357326944  0.427104111  0.796995802  0.4298004120  0.055732905
## 13  -0.494977091 -0.044086746  0.558356617 -0.3732863063 -0.776472862
## 14  -0.605865256  0.045098985 -0.228437811 -0.9781711635  0.501169299
## 15   1.696106536  0.073182344 -0.369727664 -0.0365622457  0.934173150
## 16   1.414935038 -0.245709946 -0.140319533  1.1591227162  0.374507056
## 17  -0.201299839 -0.398797991  0.456883852 -0.0858875841  0.083961779
## 18   0.841201444  0.512602171  0.170704594 -0.0004955918  0.382520522
## 19  -0.589561666 -0.429100961  0.929421523  0.4311767789 -0.262220124
## 20  -1.367258714  2.934298370 -1.140215819  1.8245005868 -2.118076190
## 21  -0.537830784 -0.193753824  0.885351512  0.1195846944  0.061072293
## 22   0.351709034 -0.895024244  0.381810079  0.5727846693 -0.679855018
## 23  -2.051858581 -2.332978115 -3.158205607 -0.2097473786 -0.050156122
## 24   0.374459258 -0.248521806  0.019556817  0.0220025225  0.172054144
## 25   0.308930030 -1.221930984  0.456989018  0.8083529279 -0.422045123
## 26  -0.075461614  0.140292221  0.486681874  0.2754509861 -0.204752557
## 27  -0.100607637 -0.378650307  0.339508132  1.2955598553 -0.313935066
## 28  -0.727404742 -0.710987617  0.138867438  0.8465962503 -0.021305526
## 29  -0.298555910 -0.232745626  0.528906392 -0.8394357690  0.706465171
## 30   0.658635224  0.102810244  0.103883085 -0.8853212496  1.421099551
## 31   1.892349121 -0.367959544  0.779177212 -1.0893717634  0.004956317
## 32   1.449439776  0.316237226  0.135287421 -0.0233081338  1.484937863
## 33   0.276939083  0.195064195  0.285065150  1.1065987573  0.192843403
## 34  -0.566905743 -0.262124642  0.589675732  1.9197772901  1.012744676
## 35   0.715706105  0.854338132 -0.303084250 -0.9429483833 -0.790164455
## 36   0.898281182 -0.163802839  0.609802385 -0.2978892856 -0.535930757
## 37  -1.208082754  0.474834266  0.893881407  1.4492960692  0.496353661
## 38   0.755669825  0.597975512  0.183755412 -0.4719943581  1.076315718
## 39   0.933948664  0.628780277  0.061877295  0.0614908993  0.983530968
## 40   1.137386903  0.455987337 -0.069377375  0.4566972984  0.145628520
## 41  -1.802532550 -2.401157431 -3.405450039 -0.2641392637  0.151975123
## 42  -0.465179351  0.124897284  0.736181286  0.2148846221 -0.237101343
## 43   0.398232302  1.003456909 -0.260883392 -0.8876550983  1.932669232
## 44   1.184745327  0.572397309 -0.462048509 -0.8924644942  0.897160414
## 45  -0.675480931 -0.664944681  0.646712327 -0.6835020240 -0.771133473
## 46   0.325218741 -0.025000137  0.656027364  1.7755469741  1.599833587
## 47   0.945867634  0.220362772  0.249164759  0.5277998722  0.886763600
## 48   0.093833084 -0.231503331  0.442300608  0.0874378558  0.013051333
## 49  -0.252256799  0.294917365  0.600615469  0.3904403120  0.472420116
## 50  -0.239220356 -0.490123612  0.423647696  0.3106337588 -1.648997113
## 51   0.043071162 -0.945079803 -0.010679160 -0.2680787381 -0.920346342
## 52   0.961788224 -0.331716718  0.826981843  0.3155416197  0.106580273
## 53   0.548687229  0.724121906 -0.321829523 -1.4179277915 -0.606651298
## 54  -0.717761570 -0.205244417  0.924439103 -0.5422654654  0.525508203
## 55  -0.270953059 -0.316470297  0.899313855  0.0375093262 -0.412598954
## 56  -0.943247535  0.337817971  0.658747909  1.4698551378 -0.105944120
## 57  -1.703206521  0.005083927  1.016052971 -0.0275815412  1.601268123
## 58   1.302101211 -0.126085535 -0.339387997  0.0572755296 -0.018378090
## 59  -0.889176457 -1.750021903 -3.566455373 -0.4222275966  0.981420346
## 60   0.728253743 -0.448278433  0.487577680  0.7825541849 -0.231934682
## 61   0.340223008 -0.476289763  1.126904100  0.5685807044 -0.266531683
## 62  -0.182694209 -0.847045338 -0.377213554  0.7365870213 -0.072107592
## 63   0.289343703  0.103567603  0.248548055 -0.5802496377 -1.038060566
## 64   0.012413351  0.070147818  1.004103003 -0.4020743037 -0.878324091
## 65  -0.552552572  0.346264540  0.859003406  0.0648260109  0.403369456
## 66   0.770949705  0.183014510  0.747342981 -0.2190694962  1.853006634
## 67   0.963852290  0.548760306 -0.243250039 -0.9531461489  0.477545411
## 68   0.051024165  0.895810117  0.100445927 -1.6259748346 -0.588899037
## 69  -0.219108844 -0.716112116  0.288303944 -0.7067651418 -0.433686160
## 70  -0.766711159 -0.036679415  0.783144781 -1.4017395018  1.276902148
## 71  -0.566171695  0.156454001  0.927351018  0.4100405808  0.084712269
## 72  -0.257188728  0.320961935  0.711165382  1.0878181477  1.429398874
## 73   1.542928528 -0.416457514  0.614165612  1.3736448800 -0.762154159
## 74   0.251233472  0.318772435  0.288581097  0.5863189890 -0.115074344
## 75   0.608776384 -0.688708718 -0.080449413  0.6460576606 -0.327039536
## 76   1.448132137 -0.266916061 -0.454186096 -0.6500777211  0.305421931
## 77   1.224648398  0.168956917  0.371426277  0.2721816920  0.872021022
## 78  -0.089813549  0.209116118  0.283155150 -0.3388759265  0.243004235
## 79   0.921021195 -0.203520518  0.330600794  0.5874042102  1.412074637
## 80   1.205124644 -0.325805652 -0.372964842 -0.8389247736  0.185035389
## 81  -0.473738775 -0.273277212  0.907003386  0.5312185335 -0.259292331
## 82  -0.275718408 -0.220348544  0.476557908  0.8851006124  1.409445784
## 83  -0.182166113 -1.325932301  0.404615706 -0.5178500728 -0.067801966
## 84   0.294705815 -0.583804461  0.164459485  0.8949131846 -0.595342996
## 85   0.583522746  0.438579931 -0.007219941 -1.3755283360  0.300790860
## 86  -0.652624084 -0.107924000  1.096742542  0.0007540630  0.552898942
## 87  -0.774255326 -0.146857943  0.900442801 -0.6904458628  0.758221046
## 88  -0.868905431  1.066095519  0.701588698 -0.6834773050  1.414757131
## 89  -1.613982592  1.926358944 -0.352094606  1.0505612383 -2.612703283
## 90  -0.342065274  3.727106767 -1.410372949  1.5989389453 -1.003682439
## 91   1.367277530 -0.386739652 -0.515628703 -0.4418871335  0.272410240
## 92  -0.071953781  0.181161794  0.480639652  0.6739629948 -0.194270467
## 93  -0.381979125  0.097317681  0.089266803  0.4417247331 -0.557434031
## 94  -0.285302652  0.267703318  0.582140103 -0.0980122989 -0.095204368
## 95  -0.530567348 -0.081248149  0.481371290  0.5756332163  0.154925005
## 96   0.002813246 -0.530488389  0.497909090  0.3776192858 -0.679738560
## 97   0.334271061 -0.484205844  0.198175335  0.8352484261 -0.188129617
## 98  -0.630802790 -0.366943750  0.712912723 -0.6917573039 -0.004449726
## 99  -0.137812699 -0.543150830  0.487136883 -0.1126456535  0.007195749
## 100 -1.710657689  1.265292782 -5.667718708 -1.4860087526 -0.168482230
## 101 -0.872698791 -1.155752117  0.994066220  0.9504186390 -1.409958151
## 102 -1.355898615  0.293951946  1.434500614 -0.4902407955 -0.727185778
## 103 -0.316408359  0.473123765  0.676651610 -0.0948219799  0.365913953
## 104  1.311983601  0.120482473  0.309318311 -0.2642106223 -0.566050182
## 105  0.062068371  0.282923159  0.208901263 -0.3171749490  0.661665429
## 106 -0.724536632 -1.397658047  0.320590832  1.6781782514 -0.958403593
## 107  1.477866334 -0.011091258 -0.227324918  0.8324080280  0.361657092
## 108  0.447889435  0.440461148  0.461753353 -0.0126865674  0.915454744
## 109 -0.103405914  0.404366011  0.221388577  0.8437678126  0.144800577
## 110  0.361787763  0.052036591 -0.075430151  1.0890063344  1.191940516
## 111  0.830432859 -0.125516910  0.152373343  0.1996052064  0.534582056
## 112  0.963394625  0.854947180 -0.310389296  1.8276489000  1.408901491
## 113  0.920199148 -0.368602280 -0.273506261 -1.2376118146  0.512655799
## 114  0.799041252 -0.394659972  0.055363247 -0.5101268171 -0.183205618
## 115 -0.559088409 -1.333410806  0.991763475  1.1553908560 -0.430207372
## 116 -0.231837955  0.383357368  0.714768848  0.4667869206 -0.029027052
## 117  1.169901753 -0.019293450  0.030593244  0.8404022482  0.809024234
## 118  0.746106047  0.629103798 -0.293507026  1.1387468848  0.962283856
## 119 -1.174320219  0.220619460  0.771625682  1.4078144052 -0.061400145
## 120  0.426229760  0.586813590 -0.023255880  0.9616176689  2.051815759
## 121  2.062235997  0.430676950  0.301759660  0.4068413484  0.398363802
## 122 -0.179930632  3.955003607 -0.247527927 -1.2830905199 -1.349016689
## 123 -0.007595822 -0.349278469  0.700472604  0.1453409104  0.117234501
## 124 -1.878341721 -2.674345806 -3.261019788 -0.2872882543 -0.101535632
## 125 -0.419723341  0.453440084  0.798767765  0.0699853621  0.578316236
## 126  0.604815104  0.492992378  0.339070803  0.0140463658  0.620335467
## 127  0.245674441  0.046242539 -0.396841292 -1.0938301533 -1.381265696
## 128 -1.446995879 -0.544582436  0.875524934  0.8240106581 -0.385183675
## 129 -0.483589855 -0.458211639  0.779561150  0.2280780918 -0.571257892
## 130  0.751024613  0.331753193  0.287294800  0.3461139690  0.260639689
## 131  2.419631895 -0.905027908  0.266047371 -0.5038533474 -0.443934252
## 132 -0.586347669  0.196281790  0.890730514 -0.1089235743  0.247239989
## 133  0.747592022  0.249386422  0.138488558 -0.0306218114 -0.496179621
## 134  1.522377436  0.151894078 -0.684170894 -0.4332166982  0.185664451
## 135 -0.488903512 -0.360622921  0.835049586  0.3046607819 -0.377986922
## 136 -1.080054913  0.186482858  0.505957936 -0.2637388200  0.777921729
## 137  0.950608191 -0.071674935  0.125634825  0.3131744053  0.643093070
## 138  1.889317424  0.243777256 -0.713497468  0.9120972433  0.338991207
## 139  1.116520393  0.656286279  0.033366814  0.5348751480  0.569458650
## 140 -0.083337627  3.401966508 -1.296914241  0.1317496681 -1.728420407
## 141  0.607913903 -0.446036883  0.944688192 -0.1359479060 -1.659729200
## 142  0.895995455  0.221674404 -0.219965771 -0.7780016816  0.334412594
## 143  1.324310327  3.665052942 -2.219994186  0.5680045868 -1.619133174
## 144  0.900370475  0.079296724 -0.279771802  2.4532274658  0.419557401
## 145 -0.222979151 -0.354668655  0.691200965  0.3800594265 -0.058659473
## 146 -1.065236347  3.193879467 -0.676548122  0.3274859166 -1.167355872
## 147 -0.541394317 -0.377022602  0.546938193 -0.1382769120 -1.293036249
## 148  1.158876517 -0.209426819 -0.158810887 -0.3878942574  0.215124389
## 149  1.160089457  0.951500791 -0.670737394 -0.9335048718 -0.474440722
## 150 -1.931482426 -1.544522634 -3.153324017 -0.0694851449  0.719706086
## 151  0.135601858  0.372652933  0.245673567 -0.3938316669 -1.486423617
## 152  0.378843740  0.067028133  0.478203293  0.6405785470 -0.673249474
## 153 -0.356760303 -0.641566719  0.725464058 -0.4086299332 -1.119976513
## 154 -0.570817087 -0.319650883  0.769188130 -0.2952394637 -0.079681402
## 155  1.174413486 -0.247327274 -0.167745313 -0.5396639828  0.131564306
## 156  0.029503050 -0.021971903  1.690731401 -1.6614836500 -0.022722835
## 157  0.350526972 -0.260204579 -0.035873869  0.9849588667  0.358094922
## 158  0.901347313  0.057580013 -0.122179288 -0.0300118570 -0.318192183
## 159  0.420972720  0.313353528  0.230545642  0.1286922314  0.087913371
## 160  1.198726871 -0.169081787 -0.100744705  0.3504812093  0.793362336
## 161 -0.581638836 -0.381054733  0.961152853 -0.1342209542 -0.111129348
## 162 -0.510676727 -0.392387116  0.571636239  0.0866856801 -1.404900819
## 163 -0.558309178 -0.183510814  0.868886148 -0.0303903670  0.135648673
## 164 -2.103529990 -3.198607561 -3.328513860  0.6456042964 -0.231422753
## 165  0.089145646 -0.101262501  0.238224952 -0.1485316074  0.848928304
## 166 -0.696678352  0.264260379  0.814993693 -0.4435757142  0.616030190
## 167 -0.408669710  0.001701041  0.721856260  0.5132395854 -0.616813263
## 168 -0.261063092  0.055826570  0.274268367  1.2635446770  1.171746387
## 169 -0.286054035  4.539948498 -2.213387659  1.7496211033 -1.495626108
## 170 -0.772133396 -0.456606963  0.957932005 -0.0422074698  0.151852194
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## 378 -0.864007269  2.781141942 -0.996956143  0.6064592025 -1.831005798
## 379 -0.019133649  2.633297996 -1.699052969  0.1749884880 -2.298011735
## 380  1.255753751 -0.198933980 -0.528849124 -0.2067306783 -0.416450529
## 381  0.288769651  1.119789361  0.776487949 -1.2503075040 -0.629612342
## 382  0.379694398  0.123221300  1.245468037 -2.5723258673 -1.451778946
## 383  1.454304985 -0.360710452 -0.144773046 -2.0950025548 -1.029651367
## 384 -0.295583119 -0.820688488  0.249760800 -0.1630684451  0.519222264
## 385 -0.140338070  0.496355033 -0.514126199 -0.7553130283  1.315428220
## 386  0.623659964 -1.049333789  0.371669732 -0.6040599529 -0.968356913
## 387  0.100157911 -0.741743143  0.059354879  0.0216244140 -0.698583092
## 388  1.927227401  0.395774142 -1.356188701  1.6037532687  0.631806744
## 389  0.996622262  0.339777713 -0.347411600  2.4726969740  0.341414318
## 390  0.660338087 -0.597366017  0.970734624 -1.8028337806 -1.118239575
## 391  1.664099633 -0.335746271 -0.736705684 -0.7409662873  0.569054154
## 392 -0.779715764 -0.500279818  0.921955105 -0.1554863456  0.092504899
## 393  0.556567017  0.122923687 -0.213241110  2.7098599986 -0.430258600
## 394  0.938588543 -0.290229955  0.070225548  0.1918427870  0.578119722
## 395  0.738408862 -0.387978471 -0.058583159  0.2421617687 -0.315892379
## 396  1.930135093  0.199738322 -0.838112211  0.0407481966 -0.130080430
## 397 -0.840908819 -0.576800222  0.886544600 -0.4603054967  0.115874596
## 398 -2.617189037  0.183366774  1.725875496 -0.8211463116 -0.435498233
## 399 -1.812826147  0.778417781  0.562359604 -1.9619296639 -0.055187290
## 400  1.961233100 -0.442621601 -0.005953921  1.0132426383 -0.602038936
## 401 -0.003789722 -0.857192800  0.211117551 -0.0252394735 -0.963451156
## 402 -1.497708718  1.089708674 -0.180731743 -2.2386944677  1.397703790
## 403  0.053490599 -0.513862120 -0.298379041  0.8749809671 -0.036823405
## 404  0.065245168 -1.008510227  0.029210042 -0.0662848874 -0.792704016
## 405 -0.588600496 -0.009789551  0.760943851 -0.1486105743 -0.152377354
## 406  0.077124435 -0.836052221  0.174872143 -0.1598016083 -0.503568676
## 407  0.412532867 -0.793459986 -0.208977856 -0.2790498993 -0.632498338
## 408 -1.894860722 -1.653008634 -3.818207319  0.3884782135 -0.567863328
## 409  2.470940320 -0.642408114 -1.271393912  0.4793348092  0.129021082
## 410  0.550624146 -0.121635347  0.306594486  0.3826322147 -0.710138415
## 411 -0.748719710 -0.755766824  0.291337924  1.1644164409 -0.682973859
## 412 -0.945401971  2.873991942 -1.452321017 -2.6719563186 -0.432878644
## 413 -1.438051792  0.555489220  0.201224849 -0.2462561666  2.506361808
## 414  0.748530703 -1.724690725  0.153673390  0.5468770515 -1.400266281
## 415  1.084103418  0.385055498  0.630416358 -0.5510937708  0.181331425
## 416  0.411065938 -0.204289522  1.078257681 -2.3976320636 -1.054880795
## 417 -0.056293673 -0.457180800  0.442290318  0.1911841203  0.223479633
## 418  0.166493471 -0.132964814  0.817084369  1.1112663957  1.250054785
## 419  1.251669129  0.710958261 -0.664684754 -0.3966598722 -0.860433991
## 420 -1.288154789 -0.650792148  0.598655561  0.3732704649 -0.366108957
## 421  0.981599085  2.624039316 -1.274953726 -0.8298510389 -2.632167019
## 422  0.023963688 -0.246758479  0.237061352 -0.3332948353  0.256445947
## 423  1.363661153 -0.767067298 -0.254329770  0.1239072111 -0.404761384
## 424 -1.645726037 -0.980589450  1.158704521  1.2668814452 -1.289844811
## 425  0.331153693  0.308811256  0.137768895 -1.1856437807 -0.736527696
## 426 -0.364411873  0.022846455  0.345430872  0.6858750503  0.107999471
## 427 -1.206386671 -0.089626143  0.502335678  0.6297819108 -0.853389930
## 428  0.857899420  0.152622304 -0.419930050 -1.7957096311  0.645904234
## 429 -0.859306700 -0.408067381  0.925147226 -0.7250379746  0.500221747
## 430 -1.064037333 -0.099214592  0.515486361  0.9451449603 -0.617236590
## 431  0.855793081  0.405498892  0.174616896  0.0880193831  0.450815554
## 432  0.381322923  0.353099336 -0.334650257  0.1905461554  0.720305798
## 433  0.741015766 -1.163496864  0.167083207  0.1535673875 -1.297846357
## 434 -1.264028643 -0.439543142  0.304690353  1.1129930007 -1.595343342
## 435 -1.665557598 -0.886079790  0.799881668 -0.1690177131 -0.118989492
## 436 -1.877362792 -1.323805941  1.467581078  2.0537592855 -0.134098485
## 437 -0.305390584 -0.549642802  0.402449547 -0.3361073676 -0.557090733
## 438  1.066793671  0.055459868 -0.273582377 -0.4275376060  0.206083099
## 439 -0.719777583 -0.697507478  1.711127147 -2.0364477145 -1.807645949
## 440  0.435726024 -0.810434615 -0.226350902 -0.4735737202 -0.395841528
## 441  0.456574126 -0.066153332 -0.297931187 -0.2227371446 -1.016862477
## 442 -0.240266431 -0.019878982  0.083412498  1.5133598265 -0.854816608
## 443  0.200099994 -0.379401087 -0.181140905  0.1155466053  0.824139936
## 444 -2.051998103  1.783772803  0.302164339 -0.4773764193  1.317067729
## 445 -3.232748620  0.659393482  0.793912499 -0.8691863389  0.713711696
## 446  2.106583484 -0.314053852 -0.778555911 -0.4014396190  0.246232718
## 447 -1.512590931  0.548793958  0.294312059  0.0932835331  2.053964645
## 448 -0.120979459 -1.654325477  0.315797255  0.4601942443 -1.174320773
## 449 -2.731210916  0.903086852  1.000171932 -1.4367506776  1.010691366
## 450  1.381411502 -0.187656057 -0.578855658  2.4274228902  1.272061351
## 451 -0.372779576  0.452467269  0.455376943 -0.2876506571  0.414722382
## 452 -0.394542593  0.217665041  0.538428276 -0.8192375581  0.719403134
## 453  0.361159982 -1.051931076 -0.163110643 -0.4347668561 -0.340412847
## 454  0.687421400 -0.304689743  0.084186577 -0.9774225195  0.336644491
## 455 -1.291603261  0.796737244 -0.234585116  0.4740311202  1.398534027
## 456  1.613344373  0.112337240  0.177400347 -0.5549209246 -1.026392282
## 457 -2.025080103  0.519943150  0.017655775  0.9269519840  0.779933330
## 458  0.864942351 -0.716074961 -0.019660815 -0.1325586852 -0.017687686
## 459 -1.223191126  0.842042036  0.116907442 -0.1605738252  0.358800628
## 460  2.096372206 -0.780540175 -0.146312570 -0.4194713392  0.052832283
## 461  0.119217751  0.861546417 -0.428043287  0.3239001757 -0.138428751
## 462  1.611701713  0.261546498 -0.541644795 -1.7805527831  1.338671341
## 463 -0.543073043 -0.002543948  0.236349513  0.8527779262 -0.976126092
## 464 -1.539036638 -1.447870619  0.796507804  0.1198723238 -0.160968241
## 465  1.664137835 -0.402251944 -0.583430764  0.0836062275  0.109720347
## 466 -1.166238827 -0.111623486  0.174717173 -0.0950031599  1.356650459
## 467  0.567589940 -0.619127597  0.229149092 -1.0156279911  0.051576586
## 468  1.655556049 -0.383812181 -0.721514528 -0.7641350287  0.808561050
## 469  0.373390658 -0.505718510 -0.210917843 -0.5020709282  0.145411758
## 470 -0.016220399 -0.426191333 -0.040953145  1.8041767406  0.262308216
## 471  0.312873989  0.898961102 -0.085421816 -1.2653430571 -0.318436794
## 472 -0.147526594 -0.595435801  0.215069557 -0.8469119923 -0.092162746
## 473 -1.775342818  0.737118882  0.606726569 -0.3654640935 -0.629356728
## 474 -0.782782431 -0.564472472  0.478274325 -0.0648249565 -0.046955437
## 475 -0.046492162  0.098335601 -0.359437615  1.1743983763  0.310085782
## 476  0.441310129 -0.113977635 -0.390024406  0.3223171745  0.718505221
## 477  0.968385204  0.331371306 -0.539446311 -1.2285979858 -0.132958952
## 478  1.172894152 -0.705202043 -0.423852724 -0.9839585095  0.834705815
## 479  1.331831889  2.246847233 -0.942178327 -0.7100563737 -1.933861438
## 480  0.027644080 -0.642713173  0.510054073  0.5411217914 -0.648731719
## 481  0.724664191  0.107365823 -0.661696620 -0.0396350702 -0.033311784
## 482 -1.452424120  0.283436667  0.428801526  0.0152108266  1.367414993
## 483  0.607818682  0.065400487  0.090158465 -0.5254960923 -0.177935666
## 484  0.790390412  0.092906489  0.061647983 -0.0521118436 -0.592007983
## 485 -1.222651324 -0.531949195  0.721855476  1.5371275051 -1.026919595
## 486 -0.239946023 -1.012445984  0.169653265  0.6815610725  0.784833196
## 487 -1.140291698 -0.720914426  0.662413186  1.6026673024 -1.266610191
## 488 -1.303625077 -1.103671226  0.479647023  0.1349428804  0.104864287
## 489 -1.847350616 -1.981092306 -4.112394400  0.8408855525 -0.504793020
## 490 -0.081514443 -0.481504071  0.145646764  0.7202406335  0.675654032
## 491 -1.825410930  1.286562053  0.571081315 -3.0045908425  2.200112545
## 492  0.570465104 -0.902497916 -0.187893628 -0.6553447474 -0.159320534
## 493 -1.968676178  0.939123331  0.395336650  0.5945369778  1.135394818
## 494  0.445560536 -0.478821327  0.009144093  0.4088724608 -0.139362745
## 495 -0.073079626  1.132293919 -0.242035975 -0.1600572798 -0.063539472
## 496  1.041598372  0.375523152 -0.638876224 -0.4122664536  0.842437946
## 497  0.338747875  0.087127323  0.517119986 -1.0680172500  1.613468206
## 498  2.853131913  0.147861559 -1.086699708 -0.5832488993 -0.327562849
## 499 -1.196637653 -0.842538598  0.222271008  0.3186220417 -0.854300824
##            PC10          PC11          PC12         PC13         PC14
## 1    0.06884376  1.3542167075 -0.8390318782 -1.335221239 -0.653479827
## 2   -1.97080227  1.1119057703  0.8050495986  0.122044327  0.187913164
## 3    0.39950143  0.8047119226 -0.1774440450  1.735491254  0.062404790
## 4   -1.06358860  0.4923129469 -0.3571799061 -0.104640411  0.012379354
## 5   -0.34335305 -0.6793533175 -0.6529626298  0.195948672  0.943956948
## 6   -0.32854440  0.0920774460 -0.3891777643 -1.414937674  0.473655936
## 7    0.11264444 -0.1403325526  0.6861576912  1.947408696 -0.381963997
## 8    0.91501294 -0.1273500471  0.4444874767 -0.064070801 -0.648846009
## 9    0.30262761 -0.2185516073 -0.5265172401 -0.721515723  0.184645475
## 10   0.87908444 -0.1475182801  0.3546807726 -0.156753465 -0.507987500
## 11   0.40248378 -1.1500378056 -0.9664273280 -0.756378824  0.770790917
## 12   0.81961391  0.6229115273  0.3692609465 -0.681177690 -0.645329985
## 13  -0.05733289  0.9589931767  0.4155300305 -1.004390277 -0.396077643
## 14   1.05301116  0.5629572594  1.1832388210  0.891912349  1.105293361
## 15   0.04313794 -0.7580146110 -0.4245826202  1.238923011 -1.336075334
## 16  -0.30153308 -0.2752851337 -0.6342422588  0.038063559  0.650813121
## 17   0.38131272 -0.0303815755 -0.2276836198  0.555492026  0.638177913
## 18  -0.01634302 -0.0001096449 -0.1311612888  1.165236566 -0.257115813
## 19  -0.18283428 -0.2276386065 -0.2716628718 -0.027488004  0.125562659
## 20  -0.79384875  0.5900361064 -0.3955407747 -0.552963079 -0.756706581
## 21   0.06754989 -0.3618281726 -0.0995618058 -0.308617108 -0.010599219
## 22  -0.66328922  1.2416785196 -1.9296164691 -0.316941644  0.473586995
## 23  -0.15708257 -0.6517964559  0.3916285650  0.437846597 -0.194436931
## 24   0.88183175  0.0930029515  0.0722223406  0.542685457  0.742737219
## 25   0.83528632  0.6539650679 -1.4120948005  1.137746124 -0.262194529
## 26   0.95304256  0.9610677650  0.3392853842  0.363601821  0.392254411
## 27  -1.85433762 -1.4388112119  0.2947098666 -0.240396086 -0.042407846
## 28  -0.09182902 -0.1904098695  0.4618737983 -0.810035489  0.801402904
## 29   0.70851161 -0.0861874859 -0.2253184655  0.306845650  0.670217213
## 30  -0.05023004 -0.7354258530 -0.7295878981  0.465209606  1.187560482
## 31  -1.17931716 -0.3410652176  0.9248756130 -0.843890573 -1.696573356
## 32   0.07933644 -0.7417956391 -0.1924596310 -0.691507400 -1.177244687
## 33   1.41957724  1.3240225724  0.1459418445 -1.152195068  0.094129511
## 34   0.59398886 -0.6363827613  0.2013398294 -0.853389892 -1.541378698
## 35   0.92326005 -0.5647101277 -0.2781497714 -0.413960054 -0.166268715
## 36   0.36602658 -0.0557013033  1.6127275983  0.817604676  0.742013543
## 37   0.70035301 -0.1473745585  1.0210664472 -0.386338335 -0.379961410
## 38   0.27870682  0.0545683199 -0.3405148813  0.729673617 -0.569399881
## 39   0.47137835  0.2926528023 -0.2057410002 -0.040422226  0.394097792
## 40   0.15302947  0.2496095897 -0.0084896256  1.016777983  0.561339268
## 41   0.18202014 -0.3415868702  0.3674537160  0.386789037  0.483660330
## 42   0.60965752  0.7419103638  0.1343991905  0.423326385 -0.147659080
## 43   0.30232297 -0.7743143786  0.9448473759 -0.546705582 -2.087135617
## 44   0.37094486  0.6996024208  0.1386716838 -1.552192680  0.775046538
## 45  -0.80939690 -0.0257465232 -0.0532927218 -0.631829695  0.238653123
## 46  -0.37632343 -1.2094088125 -0.0421318917 -1.099271598 -0.766400435
## 47  -0.28029578 -0.7719913054 -0.3918782250 -0.860040408  0.400716265
## 48   0.44469128 -0.1415355327  0.1494277456  0.312059750  0.051668201
## 49   1.18055118  1.0351374441  0.0842553025 -1.032585112  0.042572684
## 50  -0.50053903  1.1461639339  0.2696271483  0.202237419 -0.748034704
## 51  -0.22943167  0.5914574471 -0.1805550956 -0.130799356  1.232288730
## 52   0.02221850  0.8050018606 -0.8285746824  0.958237627  0.021691457
## 53   0.94510976 -0.4823485703 -0.5196757316  0.091033423  0.185206160
## 54   0.21745043 -0.3111851965 -0.2682652932 -0.191064621  0.242432434
## 55  -0.15848762 -0.3758644789  0.2744836298  0.589152917 -0.102375631
## 56   0.54805769 -0.2102820829  1.1897721774  0.968486339 -0.408075652
## 57   0.43762819 -1.1145202622  0.2244600071 -0.329637050  0.462111227
## 58  -0.78099884 -0.3011498706 -0.0315582847 -1.402890906  1.006464704
## 59  -0.63309884 -1.4242167006  0.1433279998  0.097917037 -0.294035807
## 60  -0.40171128  0.4003121787  0.5322677799  0.238867126  0.232023420
## 61  -0.38169677  0.5913373055 -1.3722988555  1.093437443  0.058265384
## 62   0.33278925  0.0676647440  0.4394543802  0.145957429  0.990822504
## 63  -0.19541383 -1.6661235844 -1.1075055408 -0.675451505 -0.843087358
## 64   0.23016305  0.6322992966  1.2426953838  1.685538826 -0.098344647
## 65   0.93547567  0.7187123246  0.0497947336 -0.703424821 -0.494030761
## 66  -0.78820813  1.7194039534  0.0241817504  0.812624989  0.473629963
## 67  -0.07258834  0.3909606948  0.2181532388 -0.922774588  0.297166062
## 68   0.63173115 -0.8312379073 -0.4447912377 -0.341236761  0.110573014
## 69  -0.15042372  0.2625753518 -0.2947427427 -0.627647372  0.080097572
## 70   0.65504750 -0.3665735814 -0.4097206373 -0.108628198  0.073184223
## 71   0.83222838  0.8001178223 -0.1749297355 -0.550125777 -0.532334611
## 72  -0.69047327 -1.8065275622  0.2867300611 -0.478050831  0.173049578
## 73  -0.62207341  0.3738386048  1.4043490582  0.204927754 -1.398477383
## 74   1.15157060  0.8742485773  0.4731417228  0.069473988 -0.560662688
## 75   0.56588720  0.3654570487 -0.2496111110  1.316868638  0.004635775
## 76  -0.78894545 -0.4344614023 -0.3492317218 -0.026821200 -1.065953840
## 77  -0.35477613 -0.7275441550 -0.0414542095 -0.570086279 -0.127894943
## 78   1.23714713  0.9297846529  0.1809572905  0.776205175  0.297363806
## 79  -0.02385898 -0.3629181709 -1.4172229605 -1.002155797 -0.837914492
## 80  -0.91283655 -0.4405288837 -0.3883241462  0.198186409 -0.239873063
## 81  -0.10023836 -0.3312227973 -0.0661387828 -0.305498675 -0.084459534
## 82  -0.07484816 -1.3433034846 -0.8671931350  0.549879495  1.041441366
## 83   0.30872474  0.7202236360 -1.7650286667 -0.456433381 -1.607563782
## 84   0.36027315  0.2649286247 -0.0595111807  0.665498214  1.085266110
## 85  -0.47270748  0.1637868376  0.0730884302 -0.109257381  0.046587021
## 86   0.20450515 -0.2979834176 -0.1696095790 -1.250694966 -0.210713441
## 87   0.34209482 -0.3203484210 -0.3549523442 -0.357737668  0.222970163
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## 299 -0.57579290  0.1871746278  0.0131575358  0.154614308  0.073220791
## 300 -1.08061672  0.3775235828  0.0040911339  0.067164002 -0.414942276
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## 302  0.62002025 -0.6952832349  0.8259881861  0.226121493  0.111658630
## 303 -0.36232646 -2.4466951945 -0.3271545973 -1.017330998  0.132577559
## 304 -0.74456081 -0.6049407944  0.9629417898  0.002579417  0.219934879
## 305 -0.12166435  1.9244908254 -0.6332411086  1.627124094  0.714967899
## 306  0.58458325  0.1544668684  0.5270188402  0.425308946  1.787212142
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## 309 -0.55463184 -0.5323910344  0.7654100977 -0.293675413 -0.081337895
## 310 -0.79070206  0.2541623213 -0.4435832188  0.494016820 -0.313012502
## 311 -0.56294077 -0.3011956282  1.6481080016 -0.492959601  0.825975576
## 312 -0.54831486 -0.3138701136  0.9440051597 -0.667094926  0.386523472
## 313 -0.86542834 -1.7526782810  0.0929810269  1.145451216  0.366346111
## 314 -1.07518649  2.1807510318  0.2455251494 -0.493182204  0.091743615
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## 316 -0.76137503 -0.8056240496 -0.9526127377  0.324793460  0.530879779
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## 318  0.68444548 -1.8323153375 -0.7696870944 -1.167282699  0.021833469
## 319  1.16027686 -0.6476581395  0.1131017632  0.155778097  0.795603235
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## 326  1.05347610 -0.6044738805  0.5002490355  1.369738584  0.309853637
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## 329  0.76298121  0.4659396851  0.9603317421 -0.577191673 -1.082255765
## 330  0.52182099 -0.0321477191  0.2092162275  0.016611387  0.334286637
## 331  1.29995070 -0.8925524620  0.5759876620  1.005456102 -0.220695132
## 332  0.99691548  1.4153116190 -0.5986917061 -0.415425944 -0.340069663
## 333 -0.41293676 -0.5265286923  0.7538195850  0.560038286 -0.843416215
## 334 -0.57712851 -0.3765410934  0.0177958855 -0.460975001 -0.887038378
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## 345 -2.71305440 -1.3855596812 -0.7613035802  0.013343502  0.116327951
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## 358 -0.62173381  1.9704385446  1.1522642500 -0.143074317  0.672219802
## 359  0.18708936  1.6627794751 -0.7017525439  0.295532470 -1.085222006
## 360  0.14144615  0.0264345593  0.8330360292 -1.321804793  0.754015821
## 361 -0.80607987 -0.3684437568 -0.6102916616  0.152184283 -0.080163996
## 362 -0.08405959  0.9830565922 -0.9653723340  1.201903082  0.883135357
## 363 -1.53859148 -0.6391442364 -0.4397596249 -0.455435280 -0.415679916
## 364  0.57691402 -1.2124413994  0.2136568811 -0.459628855  0.380304331
## 365  0.92498666 -1.3628982825 -0.6420194072 -0.580562112  0.204156216
## 366  1.50203129  0.0721551455 -0.6320464248  0.495921161 -1.881018263
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## 368  0.43574884  0.5361446162 -0.1931404110 -0.104722296 -0.428206082
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## 372 -0.35017052 -0.6399602581  0.9374866987  0.302179080 -0.660048935
## 373  1.19627789  1.2152474780  0.3272727544  0.906362827  1.137841476
## 374 -0.74288771 -1.7533124758  0.0837135097  1.653025456 -0.154806712
## 375 -0.52105562  0.1281166656  1.3572195126 -0.435644805  0.355083395
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## 378 -0.95010600 -0.0361763930 -1.1100294396  0.698577056  1.019444806
## 379 -1.11606392  0.4072665413 -0.5408166238 -0.333470357  0.007212887
## 380 -0.22936189  0.9838343480 -0.3852705334  0.493429246  1.018112139
## 381  0.30657099 -1.5273139076  2.4241456986 -0.056605327  0.600799761
## 382 -0.76264767 -1.8441259843  0.6948832680  0.471078938  0.833587582
## 383  2.37633176  0.2239013026  0.8131791684  0.056309635  1.126492697
## 384  0.34559830 -0.0987880303  0.4561730639 -0.101645993 -0.610814081
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## 388  0.76792979  0.4932367633  1.1309360262 -0.571212874  0.015891957
## 389  0.24231733 -0.1331217859  0.6576705725  1.085065766  0.185744320
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## 392 -0.07675284 -0.1589043177 -0.5178103580  0.292800794  0.437735703
## 393  2.07097039 -0.4652976335 -1.3944590331  0.766673098 -0.043863121
## 394 -0.48753317 -0.5296955844 -0.8758801875  0.951132952  0.526470545
## 395  0.69378183  0.1104756884  0.3255948244  1.320177597  0.212378843
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## 401 -0.55974512  0.3499682956 -0.0775187435 -0.401297221 -0.193265350
## 402  1.06865674  0.8632914930 -0.2651191253 -0.757232620 -0.065408729
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## 407 -0.01581201  0.5548206914 -0.0021591466 -0.230004676  0.138595390
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## 409  0.00864990  0.5465810846 -0.5497008536 -0.276402705  0.242625398
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## 411 -0.65064762 -0.4908035688  0.6797333005 -0.130612301 -0.078736443
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## 416 -0.16385334  0.8808941000  1.9095643936  1.386808076 -1.223248011
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## 418 -0.87196979 -1.4866471353  0.1715445800  0.382345165 -1.124054372
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## 420 -0.86878455 -0.7839332237  0.6108463843  0.034394216 -0.102002735
## 421 -1.26280111  0.5919963892  1.2899359291  0.407328238  0.297427946
## 422  0.09498334 -0.5113179524  1.9527170762 -0.380085986 -0.116728222
## 423 -0.97267732 -0.2123612310 -1.0424274037  0.339164376 -1.163586147
## 424 -0.41094930  0.6489356439 -0.2775646169  0.312860628  0.008991977
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## 428 -0.02325321  0.6008816070 -0.3526426215  0.712453158  0.453273904
## 429  0.30994476 -0.2313116712 -0.7229566042  0.321796980  0.413592056
## 430 -0.24273053  0.2229227982  1.0986914111 -0.244254810 -0.754012742
## 431 -0.03665578  0.1081837057 -0.3050491803  1.147597970 -0.536365997
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## 433 -0.33379314  0.7350594364  0.1403909790  0.127747966 -0.565444025
## 434  1.79572280  0.1252754554 -0.8935272213  0.112268911  0.196343923
## 435 -0.93617369 -0.6033236989  0.2281301569  0.274245957  0.613029037
## 436 -0.24686327 -0.4312057848 -1.4447702171  0.563153991  0.071382156
## 437 -0.38838864  0.1971828073  0.0845717125 -1.399950341  0.517522700
## 438 -0.36533272  0.7524780257 -0.2968462314 -0.376179777 -0.394388460
## 439  0.54204188 -0.5578354299 -0.0863127031 -0.476019507  0.691500096
## 440  0.19001608  0.5814940317 -0.2087225893 -0.205764584 -0.197753454
## 441  0.63036262  1.3318917989  0.7874247170 -0.086934122  0.590939201
## 442  1.02995402 -0.5118563952 -1.2802255120 -0.704358490  0.293077909
## 443 -0.99979219 -1.0980360656 -0.0271833616  0.289192388  0.063632591
## 444 -0.30570575 -0.0118578338  0.2167056829 -0.139841258 -0.079158883
## 445 -0.09791983 -0.2594076997 -0.2340528473  0.394238322 -0.227507990
## 446 -0.33563437  0.0767863491  0.1333700678 -0.365010497  0.376970483
## 447 -2.26258457  0.1496484054  0.1009842048  0.211803334 -0.326711371
## 448 -0.06454266  1.0246215066 -1.6390392053 -0.123394783  0.350233287
## 449  0.48436937  0.2850164228 -1.0114445247  0.907943315  0.813616900
## 450  0.22565802 -0.7122660898 -0.0128152788  0.196001229 -0.278968535
## 451  2.41018221 -1.7454833061  0.7665395496  0.627907437 -0.675613832
## 452  1.13169362  0.7747315003 -0.1202237902  0.722320483 -0.839643290
## 453  0.23879682  0.7524453398 -0.6895073216 -0.061345072 -0.445652095
## 454 -1.10973169 -0.3933010794 -0.3671611754 -0.780869409  0.987494583
## 455  0.09252151  0.0026198669 -0.8802674756 -0.785372543  1.424978381
## 456 -1.16949129  0.2574665235  1.1471140780  1.035702376 -1.539528315
## 457  0.79073941  0.7052869999 -0.2661633479 -1.267466083  0.166861264
## 458 -1.16841022 -0.1289278833 -1.0539329571 -0.468353882 -0.054718268
## 459  2.85154915 -0.6583929523  0.3565638446  0.891201043  1.340957293
## 460 -0.23706271  0.5997449581 -0.0594637028 -0.878830998  1.524358320
## 461  1.14241149 -1.0084826922  0.3059960745 -0.609230673  0.587991631
## 462  0.03896826 -0.4616809390  0.2389002836 -0.995973363 -0.003072753
## 463  0.75353383 -0.8544543347 -1.2583469508  0.288232093  0.041521724
## 464 -0.26272859 -0.0760541781 -0.9696472637  0.484579000  0.711429510
## 465 -0.70081842 -0.0744563006 -0.3837242061 -0.629850960 -0.342404520
## 466 -0.69625457  2.3877284251 -0.6445370373 -1.303752450 -0.468697114
## 467 -1.52385263 -0.4636329504 -0.7496778447  0.273959069 -0.241640528
## 468 -0.34551111 -0.0251216905 -0.6339815132 -0.262190402 -0.686569035
## 469  0.34540356 -0.1704886134  1.8220164140  0.714124389  0.599641277
## 470  0.63328365 -0.5121931214  0.6249539278  1.128841180 -0.372709147
## 471  0.99170784 -0.5056180745 -0.4954712958 -1.152241099  0.475291344
## 472 -0.11837253  0.2742365878 -0.1320067191 -0.913133130 -0.209019993
## 473  1.36517170 -0.9646160585  0.6858109107 -0.879638380 -0.369950135
## 474 -0.33295729 -0.5952726045  0.9788733623 -0.048970287  0.104514966
## 475  1.14485491  0.9635907772  1.2396342616 -1.515897563  0.306307515
## 476 -0.66310895 -1.0836690160  0.4484217807 -0.284191483  1.305403304
## 477  0.80128771 -1.2474742002 -0.8089627770 -0.759635489  0.205133359
## 478 -0.20720895  0.1270371266 -1.4695069438 -0.171155629  0.021919871
## 479 -2.01968676  0.1530892910 -0.9015834717  0.580326359 -0.592355393
## 480 -0.17061857 -0.1781778153 -0.2544763526  1.521623047 -1.192226967
## 481  1.00434480 -1.6965259534 -0.1566650120  0.265957366  0.459491998
## 482 -1.15687998  1.2715768281  1.7795248836 -0.077938273  0.099692926
## 483 -0.86873917  0.4317369145 -0.2296982819 -0.118146241 -0.266244503
## 484 -0.99638498  0.3638963142 -0.0005303922 -0.117540676 -0.454244107
## 485 -0.42602493  0.4747970273  0.4560764543 -0.165245093 -0.784073520
## 486 -0.57115814 -0.4665881355 -1.4842361392 -0.495078547  1.338317560
## 487 -0.45200293  0.5381076467  0.2561772157  0.458505597 -0.974226335
## 488 -0.25261647 -0.2179486181 -0.4411455092  0.204170284  0.355760929
## 489  0.49829923  0.2161722957  1.9287359750 -0.136144209  0.125484014
## 490 -0.07616772  0.3035417256 -1.1237087667  0.067009928 -0.613998521
## 491  1.39462383  0.3810242318 -0.1666734610  1.296842497  0.069755433
## 492  0.54341724  0.9078925399 -0.2282314589 -0.606941580  0.690541851
## 493 -1.02127820 -0.4893926815 -0.4952354525 -1.187569008  0.629952148
## 494  0.67216639  0.2327953660 -0.0852221244  0.849059657  0.513800161
## 495  1.03349420 -1.4649412529  0.5529571694 -0.445646364 -0.065352555
## 496  0.19833226 -0.0745516169  1.1884399671  1.009547836  0.010708070
## 497 -0.36078416 -0.8880318353 -0.8524930333  0.168430308  0.262811058
## 498  0.42721919  1.2293121693  1.3237879309  0.805266934  0.853220026
## 499  1.52295605 -0.9047601387 -1.3682466199  0.233433553 -0.240674932
##             PC15
## 1   -1.201760984
## 2   -0.118213324
## 3   -0.831311703
## 4    0.396415206
## 5   -0.035879000
## 6   -0.135087170
## 7   -0.241390831
## 8    1.020479941
## 9    0.650374109
## 10   0.046211252
## 11   0.217588839
## 12  -0.455908973
## 13  -0.143019564
## 14  -0.285804947
## 15  -0.616922621
## 16   0.672469605
## 17   0.038165845
## 18  -0.430162545
## 19   0.191491280
## 20  -0.593077800
## 21  -0.540934742
## 22   0.116089027
## 23   0.362632658
## 24  -0.731174203
## 25  -0.988958125
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# Means of scores for all the PC's classified by Survival status
tabmeansPC <- aggregate(Diabetestyp_pca[,2:6],by=list(Diabetes_binary=Diabetes$Diabetes_binary),mean)
tabmeansPC
##   Diabetes_binary        PC1        PC2        PC3        PC4         PC5
## 1               0 -0.8720678 -0.1430462  0.2426619  0.1905896  0.08409846
## 2               1  0.8685795  0.1424740 -0.2416912 -0.1898272 -0.08376206
tabmeansPC <- tabmeansPC[rev(order(tabmeansPC$Diabetes_binary)),]
tabmeansPC
##   Diabetes_binary        PC1        PC2        PC3        PC4         PC5
## 2               1  0.8685795  0.1424740 -0.2416912 -0.1898272 -0.08376206
## 1               0 -0.8720678 -0.1430462  0.2426619  0.1905896  0.08409846
tabfmeans <- t(tabmeansPC[,-1])
tabfmeans
##               2           1
## PC1  0.86857953 -0.87206780
## PC2  0.14247397 -0.14304615
## PC3 -0.24169123  0.24266187
## PC4 -0.18982724  0.19058960
## PC5 -0.08376206  0.08409846
colnames(tabfmeans) <- t(as.vector(tabmeansPC[1]$Diabetes_binary))
tabfmeans
##               1           0
## PC1  0.86857953 -0.87206780
## PC2  0.14247397 -0.14304615
## PC3 -0.24169123  0.24266187
## PC4 -0.18982724  0.19058960
## PC5 -0.08376206  0.08409846
# Standard deviations of scores for all the PC's classified by Survival status
tabsdsPC <- aggregate(Diabetestyp_pca[,2:16],by=list(Diabetes_binary=Diabetes$Diabetes_binary),sd)
tabfsds <- t(tabsdsPC[,-1])
colnames(tabfsds) <- t(as.vector(tabsdsPC[1]$Diabetes_binary))
tabfsds
##              0         1
## PC1  1.5651494 1.5068047
## PC2  1.2485808 1.2457169
## PC3  1.0585086 1.1186557
## PC4  1.0379513 1.0806399
## PC5  0.9326077 1.0935561
## PC6  1.0769807 0.9345409
## PC7  1.0861529 0.8654565
## PC8  0.8374170 0.9940173
## PC9  0.8472220 0.9527779
## PC10 0.7868442 0.8794344
## PC11 0.7517034 0.8597312
## PC12 0.7093162 0.8001453
## PC13 0.7601934 0.6799042
## PC14 0.6894095 0.6390050
## PC15 0.5822395 0.6003592
t.test(PC1~Diabetes$Diabetes_binary,data=Diabetestyp_pca)
## 
##  Welch Two Sample t-test
## 
## data:  PC1 by Diabetes$Diabetes_binary
## t = -12.655, df = 496.13, p-value < 2.2e-16
## alternative hypothesis: true difference in means between group 0 and group 1 is not equal to 0
## 95 percent confidence interval:
##  -2.010899 -1.470395
## sample estimates:
## mean in group 0 mean in group 1 
##      -0.8720678       0.8685795
t.test(PC2~Diabetes$Diabetes_binary,data=Diabetestyp_pca)
## 
##  Welch Two Sample t-test
## 
## data:  PC2 by Diabetes$Diabetes_binary
## t = -2.557, df = 496.98, p-value = 0.01085
## alternative hypothesis: true difference in means between group 0 and group 1 is not equal to 0
## 95 percent confidence interval:
##  -0.50490526 -0.06613497
## sample estimates:
## mean in group 0 mean in group 1 
##      -0.1430462       0.1424740
t.test(PC3~Diabetes$Diabetes_binary,data=Diabetestyp_pca)
## 
##  Welch Two Sample t-test
## 
## data:  PC3 by Diabetes$Diabetes_binary
## t = 4.968, df = 495.7, p-value = 9.33e-07
## alternative hypothesis: true difference in means between group 0 and group 1 is not equal to 0
## 95 percent confidence interval:
##  0.2927982 0.6759080
## sample estimates:
## mean in group 0 mean in group 1 
##       0.2426619      -0.2416912
t.test(PC4~Diabetes$Diabetes_binary,data=Diabetestyp_pca)
## 
##  Welch Two Sample t-test
## 
## data:  PC4 by Diabetes$Diabetes_binary
## t = 4.0104, df = 496.35, p-value = 6.994e-05
## alternative hypothesis: true difference in means between group 0 and group 1 is not equal to 0
## 95 percent confidence interval:
##  0.1940465 0.5667872
## sample estimates:
## mean in group 0 mean in group 1 
##       0.1905896      -0.1898272
t.test(PC5~Diabetes$Diabetes_binary,data=Diabetestyp_pca)
## 
##  Welch Two Sample t-test
## 
## data:  PC5 by Diabetes$Diabetes_binary
## t = 1.8451, df = 485.5, p-value = 0.06563
## alternative hypothesis: true difference in means between group 0 and group 1 is not equal to 0
## 95 percent confidence interval:
##  -0.01089292  0.34661396
## sample estimates:
## mean in group 0 mean in group 1 
##      0.08409846     -0.08376206
## F ratio tests
var.test(PC1~Diabetes$Diabetes_binary,data=Diabetestyp_pca)
## 
##  F test to compare two variances
## 
## data:  PC1 by Diabetes$Diabetes_binary
## F = 1.0789, num df = 248, denom df = 249, p-value = 0.5496
## alternative hypothesis: true ratio of variances is not equal to 1
## 95 percent confidence interval:
##  0.8409479 1.3843746
## sample estimates:
## ratio of variances 
##           1.078941
var.test(PC2~Diabetes$Diabetes_binary,data=Diabetestyp_pca)
## 
##  F test to compare two variances
## 
## data:  PC2 by Diabetes$Diabetes_binary
## F = 1.0046, num df = 248, denom df = 249, p-value = 0.9711
## alternative hypothesis: true ratio of variances is not equal to 1
## 95 percent confidence interval:
##  0.7830078 1.2889931
## sample estimates:
## ratio of variances 
##           1.004603
var.test(PC3~Diabetes$Diabetes_binary,data=Diabetestyp_pca)
## 
##  F test to compare two variances
## 
## data:  PC3 by Diabetes$Diabetes_binary
## F = 0.89536, num df = 248, denom df = 249, p-value = 0.3843
## alternative hypothesis: true ratio of variances is not equal to 1
## 95 percent confidence interval:
##  0.6978585 1.1488198
## sample estimates:
## ratio of variances 
##          0.8953563
var.test(PC4~Diabetes$Diabetes_binary,data=Diabetestyp_pca)
## 
##  F test to compare two variances
## 
## data:  PC4 by Diabetes$Diabetes_binary
## F = 0.92255, num df = 248, denom df = 249, p-value = 0.5257
## alternative hypothesis: true ratio of variances is not equal to 1
## 95 percent confidence interval:
##  0.7190572 1.1837173
## sample estimates:
## ratio of variances 
##          0.9225544
var.test(PC5~Diabetes$Diabetes_binary,data=Diabetestyp_pca)
## 
##  F test to compare two variances
## 
## data:  PC5 by Diabetes$Diabetes_binary
## F = 0.7273, num df = 248, denom df = 249, p-value = 0.01236
## alternative hypothesis: true ratio of variances is not equal to 1
## 95 percent confidence interval:
##  0.5668751 0.9331939
## sample estimates:
## ratio of variances 
##          0.7273039
# Plotting the scores for the first and second components
plot(Diabetestyp_pca$PC1, Diabetestyp_pca$PC2,pch=ifelse(Diabetestyp_pca$Diabetes_binary == "S",1,16),xlab="PC1", ylab="PC2", main="49 Diabetes against values for PC1 & PC2")
abline(h=0)
abline(v=0)
legend("bottomleft", legend=c("Diabetic","Non-Diabetic"), pch=c(1,16))

plot(eigen_Diabetes, xlab = "Component number", ylab = "Component variance", type = "l", main = "Scree diagram")

plot(log(eigen_Diabetes), xlab = "Component number",ylab = "log(Component variance)", type="l",main = "Log(eigenvalue) diagram")

print(summary(Diabetes_pca))
## Importance of components:
##                           PC1    PC2     PC3     PC4     PC5     PC6     PC7
## Standard deviation     1.7647 1.2541 1.11464 1.07548 1.01888 1.00936 0.98163
## Proportion of Variance 0.2076 0.1048 0.08283 0.07711 0.06921 0.06792 0.06424
## Cumulative Proportion  0.2076 0.3125 0.39528 0.47239 0.54160 0.60952 0.67376
##                            PC8     PC9    PC10    PC11    PC12   PC13    PC14
## Standard deviation     0.91875 0.90107 0.83554 0.80717 0.75555 0.7204 0.66399
## Proportion of Variance 0.05627 0.05413 0.04654 0.04344 0.03806 0.0346 0.02939
## Cumulative Proportion  0.73003 0.78416 0.83071 0.87414 0.91220 0.9468 0.97619
##                           PC15
## Standard deviation     0.59765
## Proportion of Variance 0.02381
## Cumulative Proportion  1.00000
diag(cov(Diabetes_pca$x))
##       PC1       PC2       PC3       PC4       PC5       PC6       PC7       PC8 
## 3.1141387 1.5726732 1.2424327 1.1566511 1.0381229 1.0188088 0.9635902 0.8440998 
##       PC9      PC10      PC11      PC12      PC13      PC14      PC15 
## 0.8119361 0.6981272 0.6515293 0.5708524 0.5189659 0.4408837 0.3571881
xlim <- range(Diabetes_pca$x[,1])
Diabetes_pca$x[,1]
##   [1] -0.606240531  0.352807562 -2.178113675 -0.926465857 -1.818475684
##   [6] -2.163596044 -2.169569628  0.410018794 -2.255473061 -0.015428398
##  [11]  0.823915461 -3.359160479 -1.935232397  1.177495858 -0.889377976
##  [16] -0.912251229 -1.738441113 -2.320801387 -2.528846362  0.342525268
##  [21] -3.015466346  1.038127484 -2.940616400 -1.644467931  0.791264060
##  [26] -2.097172293 -0.474682328  0.961013814 -1.651639608 -1.632691189
##  [31]  1.704135781 -1.361771076 -1.778087810 -0.036878893 -0.123794448
##  [36] -1.195731733 -2.190642492 -1.870313226 -2.090087049 -2.171239633
##  [41] -2.129855827 -2.523281797 -0.357933376 -1.104995565 -1.591538264
##  [46]  0.434295880 -2.671945733 -2.091202644 -2.254899214 -0.878134388
##  [51] -0.021011650  0.834590864  0.524582441 -2.470454763 -2.467441524
##  [56] -1.987414713 -1.387549504 -1.390369653 -3.264509549  3.088994827
##  [61] -0.143569338  2.047436690 -0.096600756 -1.630750928 -2.845029164
##  [66]  3.242622839 -1.681017891 -0.694000679 -0.690127562 -2.228591931
##  [71] -2.661473973 -1.781969331  3.730056691 -2.439695549 -0.178500718
##  [76]  0.038640360 -1.734280525 -1.811395539 -0.588754215 -0.139242711
##  [81] -3.057085303 -0.344622830  1.640178510 -1.411764499 -1.735237498
##  [86] -2.857191161 -2.530563661  4.390366151  1.947730145 -0.816890241
##  [91]  0.254945832 -2.390543199  2.885642134 -2.664593794  2.576103208
##  [96] -1.808863748 -1.376807675 -2.353607923 -1.034724763 -1.268043388
## [101]  1.404555441  0.654684080 -3.026724937  4.161152579 -1.442872036
## [106]  1.784056713 -1.783712826 -1.948970227 -0.951160944  0.772646639
## [111] -1.709492881 -0.793878346  0.139798601 -0.779046200 -0.026950229
## [116] -3.116399073 -1.742698849  0.012364592 -1.725964768 -1.581609441
## [121]  0.147873526 -1.683501360 -1.628576805 -1.589753545 -2.854180917
## [126] -2.264444604  0.431575684 -0.742633888 -2.598843801 -1.944399388
## [131]  3.472329321 -2.249828647 -1.994339942  0.188427628 -2.803936962
## [136]  1.035595103 -1.671824636 -0.346170376 -2.557398366 -1.394396275
## [141]  2.583933566 -0.580435542 -0.849555175  0.899210334 -2.157228259
## [146] -3.086308797 -1.243519253 -0.701617729  0.317352103 -3.110998303
## [151]  0.078495165  1.357741720 -1.688823044 -2.611716246 -0.545398472
## [156] -1.454176234  0.484732685 -0.803888282 -1.751222071 -0.849667858
## [161] -2.295745564 -1.315602022 -2.967411166  2.195659364 -1.799640531
## [166] -2.267499864 -2.438326584 -0.546921486  0.102371470 -2.061535045
## [171]  0.883143650 -0.356799882 -1.755012468 -2.894482756 -0.923883713
## [176] -1.478856550 -1.805528690 -0.422256543 -1.020058776 -1.556605309
## [181]  3.297043938 -1.788449506 -0.756377615 -0.570563606 -0.257019080
## [186] -0.271171925 -0.763464412 -0.883916741 -3.017321856  0.611986059
## [191] -2.086475486  2.428000404 -0.520185212  2.207916216 -2.326459486
## [196] -0.521215600  0.607865029 -1.291605708 -1.051226094  3.049655649
## [201] -1.464700168 -1.493422839  0.508442506  0.553542092 -1.393643797
## [206] -1.269006440 -1.666597493 -2.541970336 -0.008667450 -0.733884653
## [211]  0.608717580 -0.062193723  0.572044587  0.982273549  0.882623294
## [216] -2.117010028 -0.256692316 -2.732321561 -1.846751940 -1.043470353
## [221] -2.382000805  1.144857550 -1.531959612 -1.845478412 -2.067526697
## [226] -2.418598931 -0.822216458 -0.870883801 -0.576904708 -1.163941312
## [231]  3.038055583  0.383520505 -0.444997077 -0.956829210 -1.807362784
## [236] -2.378991971 -2.274945670 -1.970890979  0.912621163  0.831456232
## [241] -2.631392943  0.627074325 -2.755005427 -2.883203322 -1.447274453
## [246] -1.679519748 -1.112149620 -1.013524437 -0.991118281  4.428265216
## [251] -1.614350416  0.880246262 -1.875303944 -0.714789462  2.334774276
## [256]  2.552811445  1.944551322  1.445789756  1.094230151  1.237333632
## [261]  2.529184930  2.569047517  0.190814865  0.790737539  1.110053840
## [266] -1.119104859 -1.357124742  0.616068372  1.310460566  0.458935894
## [271] -0.996924504  2.140230215  4.457069978 -0.666539959 -1.541869231
## [276] -0.143239703 -0.501110874 -0.107107881 -0.561078551 -1.396723892
## [281]  0.646480535 -0.439698862  1.370494088  0.695394229  0.165762902
## [286] -0.147980407  0.734673295  0.438006650 -0.829013043  2.833537970
## [291]  0.201216164  0.107365207  0.004486861  3.839594442  2.409949802
## [296] -0.129783177  2.705561285 -0.122989304  2.486750398 -1.263723371
## [301]  0.247663844 -1.615147588  0.788147811 -0.145496013  0.374167504
## [306]  0.216686851 -0.970090272  1.011360802  0.335455960  0.779038416
## [311]  1.239550895 -0.619765407 -1.085765196  1.252051299  1.576130020
## [316] -1.724178861  2.928234792  2.337052664  1.186018770  1.395664161
## [321]  0.570207924  2.681061281  3.124464720  3.293343026  2.483991926
## [326]  0.610662789  0.249460741  1.020133169  0.846768298  0.131310551
## [331]  4.323580385  3.365603536  1.081331546  1.392871180  1.558711110
## [336]  1.358820498 -1.478176356 -0.560862141  1.211323509  3.188982107
## [341]  0.830613036  1.012927695  2.020433744  2.407338547  0.475127038
## [346] -0.213785629  1.558734780  4.227030922  2.656334459  0.726024403
## [351]  3.332928179  2.627044602  0.244983452 -1.188635994  0.440089868
## [356] -2.380575687  2.481286327  0.590847610  0.859674835  1.098708285
## [361]  0.304041016  3.688052904 -1.093890375  1.162007947  0.716305849
## [366]  0.945557309  0.936810306  0.756864170  1.187075542 -0.958304164
## [371]  0.338366666  0.436905369 -1.600906161 -0.606678606  1.522220793
## [376] -0.616819649  0.769372279 -2.022349370 -0.332153197  0.343466327
## [381]  1.959969115  1.096291828  4.788824260  2.953241175  3.953080801
## [386]  1.596020067 -0.507005542  1.767976688  0.037281413  0.842170869
## [391]  0.843783436 -1.934960875  3.069766792 -0.841372906 -1.063573636
## [396]  0.049601141 -1.665456349  4.322602450  1.398007661  4.437649222
## [401] -0.352878266  1.725305338  1.092839134  0.394293776 -1.893315001
## [406]  0.244260942  0.262897634  1.370436207  2.106911367 -1.102330387
## [411]  0.436767359  0.343019654  1.915190881  2.995598088 -0.908553129
## [416]  1.048686817 -1.182920861  0.732075729  0.896131733 -0.016016455
## [421]  1.985146731  1.342184972  0.582869712  1.003746316 -0.170756689
## [426]  0.003398704 -0.806248037  0.172106286 -2.053476354 -0.353274366
## [431] -1.778921791  0.617449086  1.530034315  3.178031465  0.921401559
## [436]  0.645929806 -1.513291067  0.132122691  2.530822040  0.562399002
## [441] -1.123704946  2.899339955  1.447296233  1.327063713  2.165907466
## [446]  1.044641541  1.202873706  1.490951035 -0.108700619  1.683964972
## [451]  1.931366277 -1.473569098  1.364876540 -0.565196904  3.459769850
## [456] -0.059530828  3.684124970  0.477071264  0.867484119  2.690776727
## [461]  1.651209677 -0.418698730  2.515538347  2.432114603  0.415237535
## [466]  1.793212788  0.328231726  1.331171631  2.697729195  0.523474164
## [471] -0.214088712 -0.450705924  0.096310378  0.803328451  0.892743466
## [476]  0.356060813  1.045887851  1.635114048  3.384171406 -1.291011741
## [481]  3.533787560  2.879625120 -0.850903456 -1.318214773  0.361009385
## [486]  2.419910959  0.848012547  1.928009671 -0.563124316  2.466669285
## [491]  1.689760534  1.383002288  2.310823507 -1.017633122  0.534075967
## [496]  1.802404767 -1.519954938  1.835909217  3.899033820
Diabetes_pca$x
##                 PC1          PC2          PC3           PC4          PC5
##   [1,] -0.606240531 -0.398177515  2.391958872 -0.2383106771 -0.849227041
##   [2,]  0.352807562  2.830353077  0.002293405  0.3251954957 -1.543227577
##   [3,] -2.178113675  1.159551255  0.002062511  0.1841974664 -0.406924179
##   [4,] -0.926465857  1.912889526  0.678087521 -0.5739676536  0.514738888
##   [5,] -1.818475684 -0.049966573 -0.037373299  0.3764022678  0.784162415
##   [6,] -2.163596044 -3.776800002  0.374854500  1.2299026639 -0.245668765
##   [7,] -2.169569628  1.584375518  0.934135847  1.1467231594 -0.043214444
##   [8,]  0.410018794 -0.244220845  0.708821575 -0.8335133071  0.941381915
##   [9,] -2.255473061 -1.532074349  0.440338251 -0.2104653518 -0.874913480
##  [10,] -0.015428398 -0.071476543  0.881305129 -0.3898030050  0.899067779
##  [11,]  0.823915461  1.518058248 -0.931243547  1.2415755698  0.805118711
##  [12,] -3.359160479 -0.152943084  0.736066936  0.4546072340 -0.357326944
##  [13,] -1.935232397  0.678628476  0.298886842 -0.6341401395 -0.494977091
##  [14,]  1.177495858  0.074250873 -0.021325458 -3.8360558955 -0.605865256
##  [15,] -0.889377976 -0.320872696 -1.456080424  0.4881671112  1.696106536
##  [16,] -0.912251229 -0.015763802 -0.631110084  1.5237722632  1.414935038
##  [17,] -1.738441113 -0.697026763 -0.879499871  0.1992750422 -0.201299839
##  [18,] -2.320801387  1.317180255  0.440297993 -0.1961042303  0.841201444
##  [19,] -2.528846362 -0.440392279 -0.484142286  1.0442640296 -0.589561666
##  [20,]  0.342525268 -1.420096473  0.714265293 -1.2900570223 -1.367258714
##  [21,] -3.015466346 -0.718654644 -0.403400036  0.8535263483 -0.537830784
##  [22,]  1.038127484  1.079553946  2.160644012 -0.4933776094  0.351709034
##  [23,] -2.940616400 -0.483146821  0.763133788  1.6755372819 -2.051858581
##  [24,] -1.644467931 -0.890240937 -1.396780233  0.3230041143  0.374459258
##  [25,]  0.791264060 -1.616856831 -0.107904756  0.9238608396  0.308930030
##  [26,] -2.097172293  0.069325402  0.398220866 -0.0126187072 -0.075461614
##  [27,] -0.474682328  1.419714227 -0.643430572  0.1238195558 -0.100607637
##  [28,]  0.961013814 -0.590986484 -0.832699432 -1.0518672709 -0.727404742
##  [29,] -1.651639608 -1.403389957 -0.255879115 -0.5217829965 -0.298555910
##  [30,] -1.632691189 -0.377051615  0.159385549 -0.6877574285  0.658635224
##  [31,]  1.704135781 -2.164982745  1.656040529  1.4758181910  1.892349121
##  [32,] -1.361771076 -1.469442667  0.147203074  0.9989437926  1.449439776
##  [33,] -1.778087810 -0.784948456  0.695934712  0.6764068099  0.276939083
##  [34,] -0.036878893 -1.966125490 -0.336146676  0.4876191828 -0.566905743
##  [35,] -0.123794448  2.470797244 -0.066397476  0.2080989751  0.715706105
##  [36,] -1.195731733 -1.476909516 -0.467396531  1.6590965153  0.898281182
##  [37,] -2.190642492 -0.006794962  0.893728613 -0.5237881368 -1.208082754
##  [38,] -1.870313226  0.547837097  0.928549178 -0.8403512741  0.755669825
##  [39,] -2.090087049  0.471952090  1.119812203 -0.3084049804  0.933948664
##  [40,] -2.171239633  1.446853098  0.242581082  0.1839560441  1.137386903
##  [41,] -2.129855827 -0.838105324  0.844233475  1.3860766855 -1.802532550
##  [42,] -2.523281797  0.341560385  0.438992299 -0.0852170308 -0.465179351
##  [43,] -0.357933376  0.037659480  0.576466477 -3.0074346136  0.398232302
##  [44,] -1.104995565  0.361425481  0.967422919 -1.4551350126  1.184745327
##  [45,] -1.591538264  0.112916916 -0.840580130 -0.2352210252 -0.675480931
##  [46,]  0.434295880 -1.589273150  1.308210576  0.8172830145  0.325218741
##  [47,] -2.671945733 -0.319568428  0.104285728  1.3133139165  0.945867634
##  [48,] -2.091202644 -0.872289105 -1.012620173  0.7748441511  0.093833084
##  [49,] -2.254899214 -0.739252648  1.101274569 -0.0159292379 -0.252256799
##  [50,] -0.878134388  1.470189969 -0.601158520 -0.0801021844 -0.239220356
##  [51,] -0.021011650 -0.005302400 -1.404853976 -0.3089410320  0.043071162
##  [52,]  0.834590864 -0.417315288  2.939931546  0.4681054531  0.961788224
##  [53,]  0.524582441  2.436572199  0.043712945 -0.5700269952  0.548687229
##  [54,] -2.470454763 -1.134212205  0.024439403 -0.0134862709 -0.717761570
##  [55,] -2.467441524 -0.485954041 -0.694778037  1.0992146570 -0.270953059
##  [56,] -1.987414713  0.796848832 -0.091182111 -0.5010076763 -0.943247535
##  [57,] -1.387549504 -1.552782132  0.606928089 -1.6432891717 -1.703206521
##  [58,] -1.390369653  0.460850907 -0.730682770  0.6272840900  1.302101211
##  [59,] -3.264509549 -0.046106964  1.417001221  1.6847296908 -0.889176457
##  [60,]  3.088994827 -0.185924380  2.760913096 -0.6970309121  0.728253743
##  [61,] -0.143569338  0.364387021  3.025695360  0.5429814688  0.340223008
##  [62,]  2.047436690 -0.577100770 -1.567957456 -1.4643776885 -0.182694209
##  [63,] -0.096600756  1.734086549 -0.663235152  1.5892583589  0.289343703
##  [64,] -1.630750928  0.207938535  0.641837034  0.3520372553  0.012413351
##  [65,] -2.845029164 -0.513618475  1.182463366 -0.1521447367 -0.552552572
##  [66,]  3.242622839 -2.029394200  1.830341632  3.5751352480  0.770949705
##  [67,] -1.681017891  0.986498165  0.682794823 -1.2862442879  0.963852290
##  [68,] -0.694000679  2.592138654  0.560669429 -0.4785484105  0.051024165
##  [69,] -0.690127562 -0.566605055 -0.849195501 -0.4892813721 -0.219108844
##  [70,] -2.228591931 -1.692364661  0.167537626 -1.1248653201 -0.766711159
##  [71,] -2.661473973 -0.359873114  1.244245335  0.1811174059 -0.566171695
##  [72,] -1.781969331 -0.257651903  0.687450704  0.1196862702 -0.257188728
##  [73,]  3.730056691 -0.726358544  2.617701225  0.9515743710  1.542928528
##  [74,] -2.439695549 -0.058043391 -0.107332356  0.4106926735  0.251233472
##  [75,] -0.178500718 -0.628523357 -1.969896196  0.7251784543  0.608776384
##  [76,]  0.038640360  0.167825198 -1.384302034 -0.2740053592  1.448132137
##  [77,] -1.734280525 -0.850648257  0.368110103  1.4676670179  1.224648398
##  [78,] -1.811395539 -0.081585182  0.175425615 -0.9461092237 -0.089813549
##  [79,] -0.588754215 -1.469039759  0.849188809  0.8958811137  0.921021195
##  [80,] -0.139242711  0.487081484 -1.223953428 -0.5577896058  1.205124644
##  [81,] -3.057085303 -0.479155398 -0.564721822  1.3459097769 -0.473738775
##  [82,] -0.344622830 -0.448822284  1.100266866 -0.8511454998 -0.275718408
##  [83,]  1.640178510 -1.877442783  0.113202828 -0.7863296085 -0.182166113
##  [84,] -1.411764499 -0.245015010 -1.513446134  1.1898176543  0.294705815
##  [85,] -1.735237498  1.440029988  0.628255695 -1.7207906497  0.583522746
##  [86,] -2.857191161 -1.547391200  0.457155833  0.8409784817 -0.652624084
##  [87,] -2.530563661 -1.296205834  0.119801620 -0.2581973722 -0.774255326
##  [88,]  4.390366151 -0.142393231  1.193938080  2.6964968666 -0.868905431
##  [89,]  1.947730145 -2.690653586  1.281869023 -0.5479370100 -1.613982592
##  [90,] -0.816890241 -0.045470328  0.298567424 -1.2925834993 -0.342065274
##  [91,]  0.254945832  0.185179463 -0.957530453 -0.3364926057  1.367277530
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## [182,] -1.788449506 -0.948724811  0.409171943  1.0256007733  1.065664338
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## [188,] -0.883916741 -1.228277667  4.468215046  1.1017908425 -2.169012564
## [189,] -3.017321856 -0.788395925  0.532573347  1.4905753557 -1.632306063
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## [193,] -0.520185212  0.567388000  1.077594459 -2.9456719155  0.464043608
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## [230,] -1.163941312 -3.194890535  1.084414059  1.6392711856  0.731848275
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## [232,]  0.383520505  0.858421717 -2.594315676  0.9258005681  0.266152834
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## [250,]  4.428265216 -0.732919739  2.005357954  1.2367665473  0.378068966
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## [278,] -0.107107881  1.617387833 -0.249359837 -0.0116262450  1.558446885
## [279,] -0.561078551 -0.226418683 -1.049244728 -0.8118788322 -1.075291787
## [280,] -1.396723892  1.240234353  2.002637315  0.1711781393 -0.576502455
## [281,]  0.646480535 -2.179516284 -0.408560794 -1.0570230599 -1.355562172
## [282,] -0.439698862  0.069669038 -1.982025106  0.1158479111  0.199222199
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## [330,]  0.131310551  0.400038015  1.038631752 -0.3144548472  0.623358321
## [331,]  4.323580385  0.605692051  1.770771844 -1.1806992865  0.561695312
## [332,]  3.365603536  0.154891277 -1.819942040  2.6670670612 -0.899902402
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## [339,]  1.211323509 -1.119850406 -1.897823114 -0.0223389307  1.162433586
## [340,]  3.188982107  1.105228332  1.000570166  0.0007679735 -0.842271479
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## [344,]  2.407338547 -0.489757455 -1.979917073 -0.5188097185 -1.714147078
## [345,]  0.475127038 -1.091822277  0.175061155 -1.5952860434 -0.876547094
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## [347,]  1.558734780 -0.303984494 -1.232828715 -0.4576764899  1.794303841
## [348,]  4.227030922 -1.832555837 -1.310041659 -0.3330334531 -2.260706115
## [349,]  2.656334459 -0.604557584  2.530279940 -0.0367057694 -0.407716337
## [350,]  0.726024403  1.367212442  1.306451601  2.2402648580 -1.320656295
## [351,]  3.332928179  0.874275937 -0.510585761  0.3399928835 -2.038934419
## [352,]  2.627044602 -1.272799558 -1.203941524 -1.9604414989 -0.304264927
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## [354,] -1.188635994  2.057084690  0.932101492  1.0583907227  0.202784978
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## [357,]  2.481286327 -1.505938227  0.154523113 -1.1499600805 -0.671730892
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## [359,]  0.859674835  0.224618937  0.723350292  0.1763710809  0.077060190
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## [363,] -1.093890375  0.841985018 -0.691385355  0.2802997225  0.704269853
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## [370,] -0.958304164  2.752712614  0.495701483  0.5697080804  0.163655330
## [371,]  0.338366666  0.027897223 -1.346380482 -0.6392921644 -0.629461351
## [372,]  0.436905369  0.034992092 -2.024434921 -0.8398901872 -0.453835346
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## [375,]  1.522220793  0.493281237  1.575757643 -0.3221596865  0.898670752
## [376,] -0.616819649  2.090771144 -0.002750341  0.1634282876 -1.052879607
## [377,]  0.769372279  0.185398309  1.496890173  0.5312652762  2.164799768
## [378,] -2.022349370 -2.048334134 -0.647282107  0.2351810505 -0.864007269
## [379,] -0.332153197 -2.184156788 -1.556956308 -0.1086400088 -0.019133649
## [380,]  0.343466327  1.627814306  0.122741835 -1.1021161095  1.255753751
## [381,]  1.959969115  1.091149276  2.277542800  0.0993156207  0.288769651
## [382,]  1.096291828  0.709852675  1.593834506  1.4634066644  0.379694398
## [383,]  4.788824260 -2.333262072  0.261770086  0.8477663156  1.454304985
## [384,]  2.953241175 -2.121439076 -0.048298751 -1.6776988621 -0.295583119
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## [387,] -0.507005542 -0.383314679 -1.171693175  0.1962431375  0.100157911
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## [389,]  0.037281413  1.333228592 -0.187101258  0.1533350331  0.996622262
## [390,]  0.842170869 -1.646721805  0.217442553  0.6300578900  0.660338087
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## [393,]  3.069766792  1.309777123  1.029174181  1.3340146409  0.556567017
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## [409,]  2.106911367 -0.303486380 -1.800729820  0.2679496324  2.470940320
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## [418,]  0.732075729 -0.997386463  0.882639785  0.3266155714  0.166493471
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## [433,]  1.530034315 -0.880130910 -1.165285581  0.8824819929  0.741015766
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## [450,]  1.683964972 -0.790327268 -1.018476004  0.6174797579  1.381411502
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## [455,]  3.459769850  1.540421738 -0.459525432  1.8118430737 -1.291603261
## [456,] -0.059530828  1.410558792  0.112923574  0.3642406234  1.613344373
## [457,]  3.684124970  0.464497623 -1.418638368  2.3096513296 -2.025080103
## [458,]  0.477071264  0.259333050 -0.305277326 -0.0280787157  0.864942351
## [459,]  0.867484119  0.725284009  0.270935732 -1.5659574126 -1.223191126
## [460,]  2.690776727 -1.740553145  1.266296499  0.6130126752  2.096372206
## [461,]  1.651209677  2.187579030  0.232289043 -0.7326918256  0.119217751
## [462,] -0.418698730 -1.058785873 -0.393032386 -1.1235719545  1.611701713
## [463,]  2.515538347  2.389344930  1.410061259 -0.4066371001 -0.543073043
## [464,]  2.432114603 -0.914542482  0.735798241 -2.1133464616 -1.539036638
## [465,]  0.415237535  0.090824792 -1.273294668  0.3443790249  1.664137835
## [466,]  1.793212788 -0.795405753 -1.133471047  1.6752513367 -1.166238827
## [467,]  0.328231726  0.457981356 -0.276875308 -0.6812398001  0.567589940
## [468,]  1.331171631 -0.531351049 -1.150398712 -0.8329382166  1.655556049
## [469,]  2.697729195 -1.480153820 -1.199178400 -1.5980817521  0.373390658
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## [471,] -0.214088712  2.025456501  0.821672818 -0.2662549567  0.312873989
## [472,] -0.450705924 -0.850755818 -0.949864966 -0.6693009064 -0.147526594
## [473,]  0.096310378  1.512768053  0.367931078 -1.1259075609 -1.775342818
## [474,]  0.803328451 -0.746689199 -0.569667428 -1.3011508030 -0.782782431
## [475,]  0.892743466 -0.438305982 -0.047196957 -1.4950940245 -0.046492162
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## [477,]  1.045887851  0.916963816 -1.063866425  0.4360234775  0.968385204
## [478,]  1.635114048 -0.769897410 -0.032617289 -1.3337104375  1.172894152
## [479,]  3.384171406 -3.748637982  2.117821826  0.4816992405  1.331831889
## [480,] -1.291011741 -0.113779752 -1.823243054  1.0629823077  0.027644080
## [481,]  3.533787560  0.724417347 -0.959931323 -0.2528729747  0.724664191
## [482,]  2.879625120 -0.654049208 -1.121197954  1.0800265997 -1.452424120
## [483,] -0.850903456  1.623654034  0.569517802 -0.9830378604  0.607818682
## [484,] -1.318214773  1.976303610  0.201731755 -0.2684015238  0.790390412
## [485,]  0.361009385  1.032882869  0.362646310 -0.8526734757 -1.222651324
## [486,]  2.419910959 -0.467962508  1.361856102 -1.6957131333 -0.239946023
## [487,]  0.848012547  1.207791455  0.136793317 -0.8840868077 -1.140291698
## [488,]  1.928009671 -0.712802251 -0.191821919 -2.1249145430 -1.303625077
## [489,] -0.563124316  0.759359402  0.919304979 -0.2326071543 -1.847350616
## [490,]  2.466669285  0.285668989  2.023340128 -2.3178875429 -0.081514443
## [491,]  1.689760534 -0.628515953 -0.764243010  0.8730984386 -1.825410930
## [492,]  1.383002288 -1.564340592 -0.707637680 -0.6349852108  0.570465104
## [493,]  2.310823507  2.213590654 -0.443856900  2.3661973991 -1.968676178
## [494,] -1.017633122 -0.695649989 -1.620639147  0.6159374994  0.445560536
## [495,]  0.534075967  2.353280633  0.166100274 -0.8657380323 -0.073079626
## [496,]  1.802404767  0.654498938  0.111833817 -2.6905861996  1.041598372
## [497,] -1.519954938 -0.766225511  0.756402636 -0.6577659353  0.338747875
## [498,]  1.835909217  0.435831380 -0.363222262 -0.4702983539  2.853131913
## [499,]  3.899033820 -0.105524086 -0.423141495 -0.5554354590 -1.196637653
##                 PC6          PC7           PC8          PC9        PC10
##   [1,] -0.699052021  1.205930605 -0.0112821754 -0.951136304  0.06884376
##   [2,]  1.082562585  0.297104939  0.6541236384  1.460367449 -1.97080227
##   [3,] -0.273591462  0.706550772  0.5522400135 -1.108877105  0.39950143
##   [4,] -0.091488613  0.204189735 -0.1390066316 -0.553897184 -1.06358860
##   [5,] -0.007442173  0.174931051 -0.0237622262  0.877005786 -0.34335305
##   [6,]  3.244907401 -0.956404400  0.8394687744 -1.120187755 -0.32854440
##   [7,] -1.550747818 -4.296760367  0.1147087503  0.076308038  0.11264444
##   [8,]  0.666348146 -0.343728103  1.6297411962  1.731932503  0.91501294
##   [9,] -0.215335983  0.994814738 -0.5639298659  0.873987844  0.30262761
##  [10,]  0.608329214 -0.238916354  1.9414432948  1.427041982  0.87908444
##  [11,]  0.065805170 -0.336648210 -0.4890413812 -0.855734412  0.40248378
##  [12,]  0.427104111  0.796995802  0.4298004120  0.055732905  0.81961391
##  [13,] -0.044086746  0.558356617 -0.3732863063 -0.776472862 -0.05733289
##  [14,]  0.045098985 -0.228437811 -0.9781711635  0.501169299  1.05301116
##  [15,]  0.073182344 -0.369727664 -0.0365622457  0.934173150  0.04313794
##  [16,] -0.245709946 -0.140319533  1.1591227162  0.374507056 -0.30153308
##  [17,] -0.398797991  0.456883852 -0.0858875841  0.083961779  0.38131272
##  [18,]  0.512602171  0.170704594 -0.0004955918  0.382520522 -0.01634302
##  [19,] -0.429100961  0.929421523  0.4311767789 -0.262220124 -0.18283428
##  [20,]  2.934298370 -1.140215819  1.8245005868 -2.118076190 -0.79384875
##  [21,] -0.193753824  0.885351512  0.1195846944  0.061072293  0.06754989
##  [22,] -0.895024244  0.381810079  0.5727846693 -0.679855018 -0.66328922
##  [23,] -2.332978115 -3.158205607 -0.2097473786 -0.050156122 -0.15708257
##  [24,] -0.248521806  0.019556817  0.0220025225  0.172054144  0.88183175
##  [25,] -1.221930984  0.456989018  0.8083529279 -0.422045123  0.83528632
##  [26,]  0.140292221  0.486681874  0.2754509861 -0.204752557  0.95304256
##  [27,] -0.378650307  0.339508132  1.2955598553 -0.313935066 -1.85433762
##  [28,] -0.710987617  0.138867438  0.8465962503 -0.021305526 -0.09182902
##  [29,] -0.232745626  0.528906392 -0.8394357690  0.706465171  0.70851161
##  [30,]  0.102810244  0.103883085 -0.8853212496  1.421099551 -0.05023004
##  [31,] -0.367959544  0.779177212 -1.0893717634  0.004956317 -1.17931716
##  [32,]  0.316237226  0.135287421 -0.0233081338  1.484937863  0.07933644
##  [33,]  0.195064195  0.285065150  1.1065987573  0.192843403  1.41957724
##  [34,] -0.262124642  0.589675732  1.9197772901  1.012744676  0.59398886
##  [35,]  0.854338132 -0.303084250 -0.9429483833 -0.790164455  0.92326005
##  [36,] -0.163802839  0.609802385 -0.2978892856 -0.535930757  0.36602658
##  [37,]  0.474834266  0.893881407  1.4492960692  0.496353661  0.70035301
##  [38,]  0.597975512  0.183755412 -0.4719943581  1.076315718  0.27870682
##  [39,]  0.628780277  0.061877295  0.0614908993  0.983530968  0.47137835
##  [40,]  0.455987337 -0.069377375  0.4566972984  0.145628520  0.15302947
##  [41,] -2.401157431 -3.405450039 -0.2641392637  0.151975123  0.18202014
##  [42,]  0.124897284  0.736181286  0.2148846221 -0.237101343  0.60965752
##  [43,]  1.003456909 -0.260883392 -0.8876550983  1.932669232  0.30232297
##  [44,]  0.572397309 -0.462048509 -0.8924644942  0.897160414  0.37094486
##  [45,] -0.664944681  0.646712327 -0.6835020240 -0.771133473 -0.80939690
##  [46,] -0.025000137  0.656027364  1.7755469741  1.599833587 -0.37632343
##  [47,]  0.220362772  0.249164759  0.5277998722  0.886763600 -0.28029578
##  [48,] -0.231503331  0.442300608  0.0874378558  0.013051333  0.44469128
##  [49,]  0.294917365  0.600615469  0.3904403120  0.472420116  1.18055118
##  [50,] -0.490123612  0.423647696  0.3106337588 -1.648997113 -0.50053903
##  [51,] -0.945079803 -0.010679160 -0.2680787381 -0.920346342 -0.22943167
##  [52,] -0.331716718  0.826981843  0.3155416197  0.106580273  0.02221850
##  [53,]  0.724121906 -0.321829523 -1.4179277915 -0.606651298  0.94510976
##  [54,] -0.205244417  0.924439103 -0.5422654654  0.525508203  0.21745043
##  [55,] -0.316470297  0.899313855  0.0375093262 -0.412598954 -0.15848762
##  [56,]  0.337817971  0.658747909  1.4698551378 -0.105944120  0.54805769
##  [57,]  0.005083927  1.016052971 -0.0275815412  1.601268123  0.43762819
##  [58,] -0.126085535 -0.339387997  0.0572755296 -0.018378090 -0.78099884
##  [59,] -1.750021903 -3.566455373 -0.4222275966  0.981420346 -0.63309884
##  [60,] -0.448278433  0.487577680  0.7825541849 -0.231934682 -0.40171128
##  [61,] -0.476289763  1.126904100  0.5685807044 -0.266531683 -0.38169677
##  [62,] -0.847045338 -0.377213554  0.7365870213 -0.072107592  0.33278925
##  [63,]  0.103567603  0.248548055 -0.5802496377 -1.038060566 -0.19541383
##  [64,]  0.070147818  1.004103003 -0.4020743037 -0.878324091  0.23016305
##  [65,]  0.346264540  0.859003406  0.0648260109  0.403369456  0.93547567
##  [66,]  0.183014510  0.747342981 -0.2190694962  1.853006634 -0.78820813
##  [67,]  0.548760306 -0.243250039 -0.9531461489  0.477545411 -0.07258834
##  [68,]  0.895810117  0.100445927 -1.6259748346 -0.588899037  0.63173115
##  [69,] -0.716112116  0.288303944 -0.7067651418 -0.433686160 -0.15042372
##  [70,] -0.036679415  0.783144781 -1.4017395018  1.276902148  0.65504750
##  [71,]  0.156454001  0.927351018  0.4100405808  0.084712269  0.83222838
##  [72,]  0.320961935  0.711165382  1.0878181477  1.429398874 -0.69047327
##  [73,] -0.416457514  0.614165612  1.3736448800 -0.762154159 -0.62207341
##  [74,]  0.318772435  0.288581097  0.5863189890 -0.115074344  1.15157060
##  [75,] -0.688708718 -0.080449413  0.6460576606 -0.327039536  0.56588720
##  [76,] -0.266916061 -0.454186096 -0.6500777211  0.305421931 -0.78894545
##  [77,]  0.168956917  0.371426277  0.2721816920  0.872021022 -0.35477613
##  [78,]  0.209116118  0.283155150 -0.3388759265  0.243004235  1.23714713
##  [79,] -0.203520518  0.330600794  0.5874042102  1.412074637 -0.02385898
##  [80,] -0.325805652 -0.372964842 -0.8389247736  0.185035389 -0.91283655
##  [81,] -0.273277212  0.907003386  0.5312185335 -0.259292331 -0.10023836
##  [82,] -0.220348544  0.476557908  0.8851006124  1.409445784 -0.07484816
##  [83,] -1.325932301  0.404615706 -0.5178500728 -0.067801966  0.30872474
##  [84,] -0.583804461  0.164459485  0.8949131846 -0.595342996  0.36027315
##  [85,]  0.438579931 -0.007219941 -1.3755283360  0.300790860 -0.47270748
##  [86,] -0.107924000  1.096742542  0.0007540630  0.552898942  0.20450515
##  [87,] -0.146857943  0.900442801 -0.6904458628  0.758221046  0.34209482
##  [88,]  1.066095519  0.701588698 -0.6834773050  1.414757131 -0.42172504
##  [89,]  1.926358944 -0.352094606  1.0505612383 -2.612703283 -1.85133871
##  [90,]  3.727106767 -1.410372949  1.5989389453 -1.003682439 -1.30376320
##  [91,] -0.386739652 -0.515628703 -0.4418871335  0.272410240 -0.67781039
##  [92,]  0.181161794  0.480639652  0.6739629948 -0.194270467  0.94643404
##  [93,]  0.097317681  0.089266803  0.4417247331 -0.557434031  1.04453794
##  [94,]  0.267703318  0.582140103 -0.0980122989 -0.095204368  0.81585352
##  [95,] -0.081248149  0.481371290  0.5756332163  0.154925005  0.16470085
##  [96,] -0.530488389  0.497909090  0.3776192858 -0.679738560 -0.12941668
##  [97,] -0.484205844  0.198175335  0.8352484261 -0.188129617  0.62556655
##  [98,] -0.366943750  0.712912723 -0.6917573039 -0.004449726  0.09029062
##  [99,] -0.543150830  0.487136883 -0.1126456535  0.007195749  0.27949943
## [100,]  1.265292782 -5.667718708 -1.4860087526 -0.168482230  0.29028467
## [101,] -1.155752117  0.994066220  0.9504186390 -1.409958151 -1.13782559
## [102,]  0.293951946  1.434500614 -0.4902407955 -0.727185778  0.88588926
## [103,]  0.473123765  0.676651610 -0.0948219799  0.365913953  1.02744572
## [104,]  0.120482473  0.309318311 -0.2642106223 -0.566050182  0.87954715
## [105,]  0.282923159  0.208901263 -0.3171749490  0.661665429  1.62247885
## [106,] -1.397658047  0.320590832  1.6781782514 -0.958403593 -0.12440780
## [107,] -0.011091258 -0.227324918  0.8324080280  0.361657092 -0.15752137
## [108,]  0.440461148  0.461753353 -0.0126865674  0.915454744  0.04157233
## [109,]  0.404366011  0.221388577  0.8437678126  0.144800577 -0.92619440
## [110,]  0.052036591 -0.075430151  1.0890063344  1.191940516  1.11213757
## [111,] -0.125516910  0.152373343  0.1996052064  0.534582056 -0.51181653
## [112,]  0.854947180 -0.310389296  1.8276489000  1.408901491  0.85119283
## [113,] -0.368602280 -0.273506261 -1.2376118146  0.512655799 -0.86768780
## [114,] -0.394659972  0.055363247 -0.5101268171 -0.183205618 -1.47765878
## [115,] -1.333410806  0.991763475  1.1553908560 -0.430207372  0.31188510
## [116,]  0.383357368  0.714768848  0.4667869206 -0.029027052  0.81787922
## [117,] -0.019293450  0.030593244  0.8404022482  0.809024234 -0.02946938
## [118,]  0.629103798 -0.293507026  1.1387468848  0.962283856  0.08585850
## [119,]  0.220619460  0.771625682  1.4078144052 -0.061400145  0.44630732
## [120,]  0.586813590 -0.023255880  0.9616176689  2.051815759  0.40104782
## [121,]  0.430676950  0.301759660  0.4068413484  0.398363802  0.35069671
## [122,]  3.955003607 -0.247527927 -1.2830905199 -1.349016689 -0.17391154
## [123,] -0.349278469  0.700472604  0.1453409104  0.117234501  0.43275883
## [124,] -2.674345806 -3.261019788 -0.2872882543 -0.101535632  0.16693415
## [125,]  0.453440084  0.798767765  0.0699853621  0.578316236  1.03043201
## [126,]  0.492992378  0.339070803  0.0140463658  0.620335467 -0.03318642
## [127,]  0.046242539 -0.396841292 -1.0938301533 -1.381265696  1.47955313
## [128,] -0.544582436  0.875524934  0.8240106581 -0.385183675 -0.98860911
## [129,] -0.458211639  0.779561150  0.2280780918 -0.571257892 -0.22827405
## [130,]  0.331753193  0.287294800  0.3461139690  0.260639689 -0.15182601
## [131,] -0.905027908  0.266047371 -0.5038533474 -0.443934252 -0.68788214
## [132,]  0.196281790  0.890730514 -0.1089235743  0.247239989  0.74138501
## [133,]  0.249386422  0.138488558 -0.0306218114 -0.496179621 -0.88206016
## [134,]  0.151894078 -0.684170894 -0.4332166982  0.185664451  0.05201403
## [135,] -0.360622921  0.835049586  0.3046607819 -0.377986922 -0.14336708
## [136,]  0.186482858  0.505957936 -0.2637388200  0.777921729 -1.65239663
## [137,] -0.071674935  0.125634825  0.3131744053  0.643093070 -0.42864423
## [138,]  0.243777256 -0.713497468  0.9120972433  0.338991207  0.80482042
## [139,]  0.656286279  0.033366814  0.5348751480  0.569458650  0.34373254
## [140,]  3.401966508 -1.296914241  0.1317496681 -1.728420407 -2.03101917
## [141,] -0.446036883  0.944688192 -0.1359479060 -1.659729200  1.66066118
## [142,]  0.221674404 -0.219965771 -0.7780016816  0.334412594 -0.28061790
## [143,]  3.665052942 -2.219994186  0.5680045868 -1.619133174 -0.97985105
## [144,]  0.079296724 -0.279771802  2.4532274658  0.419557401  0.31653974
## [145,] -0.354668655  0.691200965  0.3800594265 -0.058659473  0.24478250
## [146,]  3.193879467 -0.676548122  0.3274859166 -1.167355872 -0.84617949
## [147,] -0.377022602  0.546938193 -0.1382769120 -1.293036249 -0.39262403
## [148,] -0.209426819 -0.158810887 -0.3878942574  0.215124389 -0.97105317
## [149,]  0.951500791 -0.670737394 -0.9335048718 -0.474440722  1.44697926
## [150,] -1.544522634 -3.153324017 -0.0694851449  0.719706086  0.91227088
## [151,]  0.372652933  0.245673567 -0.3938316669 -1.486423617  0.20714136
## [152,]  0.067028133  0.478203293  0.6405785470 -0.673249474  1.66035028
## [153,] -0.641566719  0.725464058 -0.4086299332 -1.119976513 -0.85108696
## [154,] -0.319650883  0.769188130 -0.2952394637 -0.079681402  0.02374593
## [155,] -0.247327274 -0.167745313 -0.5396639828  0.131564306 -1.01214105
## [156,] -0.021971903  1.690731401 -1.6614836500 -0.022722835 -0.21467605
## [157,] -0.260204579 -0.035873869  0.9849588667  0.358094922 -1.23266065
## [158,]  0.057580013 -0.122179288 -0.0300118570 -0.318192183 -0.65691319
## [159,]  0.313353528  0.230545642  0.1286922314  0.087913371  1.12283373
## [160,] -0.169081787 -0.100744705  0.3504812093  0.793362336 -0.10587811
## [161,] -0.381054733  0.961152853 -0.1342209542 -0.111129348 -0.11607009
## [162,] -0.392387116  0.571636239  0.0866856801 -1.404900819 -0.45529141
## [163,] -0.183510814  0.868886148 -0.0303903670  0.135648673  0.10932814
## [164,] -3.198607561 -3.328513860  0.6456042964 -0.231422753 -0.07941168
## [165,] -0.101262501  0.238224952 -0.1485316074  0.848928304  1.07590532
## [166,]  0.264260379  0.814993693 -0.4435757142  0.616030190  0.94822029
## [167,]  0.001701041  0.721856260  0.5132395854 -0.616813263  0.42030491
## [168,]  0.055826570  0.274268367  1.2635446770  1.171746387  0.86322015
## [169,]  4.539948498 -2.213387659  1.7496211033 -1.495626108  2.58210688
## [170,] -0.456606963  0.957932005 -0.0422074698  0.151852194 -0.05518848
## [171,] -0.150870317 -0.054631039 -0.0632445982 -0.692941329 -0.34558183
## [172,] -0.022316285  0.319514107  0.8037424413 -0.374427631  0.13794314
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## [367,] -0.975875689  0.608463333  1.3980889408 -0.354895285 -0.44090395
## [368,] -0.691514569 -0.331583096 -0.9766159255  0.025548793  0.43574884
## [369,]  0.777325736  0.143714926 -0.2560151018 -0.276607777  0.42775542
## [370,]  0.839473565  0.191005429 -0.8011119969 -0.999069126  0.40195075
## [371,] -0.635777957  0.078333911  1.0645791357 -0.448305514 -0.29996816
## [372,] -0.544336595  0.032851519  0.6684124646 -0.388189210 -0.35017052
## [373,]  0.024183537  0.036980837  0.4916594578 -0.410887878  1.19627789
## [374,]  0.003485487  0.266491974  0.8226438696  0.986155398 -0.74288771
## [375,]  0.076232955  0.153437376  1.0771830042 -0.148707335 -0.52105562
## [376,]  0.330919236  0.585836003 -0.9252780873 -1.747569159  1.02486614
## [377,]  0.284167922  0.239214829 -1.1383073255 -0.813612049 -0.72063429
## [378,]  2.781141942 -0.996956143  0.6064592025 -1.831005798 -0.95010600
## [379,]  2.633297996 -1.699052969  0.1749884880 -2.298011735 -1.11606392
## [380,] -0.198933980 -0.528849124 -0.2067306783 -0.416450529 -0.22936189
## [381,]  1.119789361  0.776487949 -1.2503075040 -0.629612342  0.30657099
## [382,]  0.123221300  1.245468037 -2.5723258673 -1.451778946 -0.76264767
## [383,] -0.360710452 -0.144773046 -2.0950025548 -1.029651367  2.37633176
## [384,] -0.820688488  0.249760800 -0.1630684451  0.519222264  0.34559830
## [385,]  0.496355033 -0.514126199 -0.7553130283  1.315428220  0.60420900
## [386,] -1.049333789  0.371669732 -0.6040599529 -0.968356913 -0.21100448
## [387,] -0.741743143  0.059354879  0.0216244140 -0.698583092 -0.17839621
## [388,]  0.395774142 -1.356188701  1.6037532687  0.631806744  0.76792979
## [389,]  0.339777713 -0.347411600  2.4726969740  0.341414318  0.24231733
## [390,] -0.597366017  0.970734624 -1.8028337806 -1.118239575 -0.77638695
## [391,] -0.335746271 -0.736705684 -0.7409662873  0.569054154 -0.40943009
## [392,] -0.500279818  0.921955105 -0.1554863456  0.092504899 -0.07675284
## [393,]  0.122923687 -0.213241110  2.7098599986 -0.430258600  2.07097039
## [394,] -0.290229955  0.070225548  0.1918427870  0.578119722 -0.48753317
## [395,] -0.387978471 -0.058583159  0.2421617687 -0.315892379  0.69378183
## [396,]  0.199738322 -0.838112211  0.0407481966 -0.130080430  0.04758408
## [397,] -0.576800222  0.886544600 -0.4603054967  0.115874596 -0.02654473
## [398,]  0.183366774  1.725875496 -0.8211463116 -0.435498233 -0.60594407
## [399,]  0.778417781  0.562359604 -1.9619296639 -0.055187290 -0.17310789
## [400,] -0.442621601 -0.005953921  1.0132426383 -0.602038936  0.07178672
## [401,] -0.857192800  0.211117551 -0.0252394735 -0.963451156 -0.55974512
## [402,]  1.089708674 -0.180731743 -2.2386944677  1.397703790  1.06865674
## [403,] -0.513862120 -0.298379041  0.8749809671 -0.036823405  0.27948369
## [404,] -1.008510227  0.029210042 -0.0662848874 -0.792704016 -0.22818007
## [405,] -0.009789551  0.760943851 -0.1486105743 -0.152377354  0.57020545
## [406,] -0.836052221  0.174872143 -0.1598016083 -0.503568676 -0.34998647
## [407,] -0.793459986 -0.208977856 -0.2790498993 -0.632498338 -0.01581201
## [408,] -1.653008634 -3.818207319  0.3884782135 -0.567863328  0.94678844
## [409,] -0.642408114 -1.271393912  0.4793348092  0.129021082  0.00864990
## [410,] -0.121635347  0.306594486  0.3826322147 -0.710138415 -1.13736479
## [411,] -0.755766824  0.291337924  1.1644164409 -0.682973859 -0.65064762
## [412,]  2.873991942 -1.452321017 -2.6719563186 -0.432878644 -0.74538297
## [413,]  0.555489220  0.201224849 -0.2462561666  2.506361808 -2.05805369
## [414,] -1.724690725  0.153673390  0.5468770515 -1.400266281  0.09499478
## [415,]  0.385055498  0.630416358 -0.5510937708  0.181331425 -0.36965104
## [416,] -0.204289522  1.078257681 -2.3976320636 -1.054880795 -0.16385334
## [417,] -0.457180800  0.442290318  0.1911841203  0.223479633  0.42328312
## [418,] -0.132964814  0.817084369  1.1112663957  1.250054785 -0.87196979
## [419,]  0.710958261 -0.664684754 -0.3966598722 -0.860433991  1.19553564
## [420,] -0.650792148  0.598655561  0.3732704649 -0.366108957 -0.86878455
## [421,]  2.624039316 -1.274953726 -0.8298510389 -2.632167019 -1.26280111
## [422,] -0.246758479  0.237061352 -0.3332948353  0.256445947  0.09498334
## [423,] -0.767067298 -0.254329770  0.1239072111 -0.404761384 -0.97267732
## [424,] -0.980589450  1.158704521  1.2668814452 -1.289844811 -0.41094930
## [425,]  0.308811256  0.137768895 -1.1856437807 -0.736527696 -0.12147038
## [426,]  0.022846455  0.345430872  0.6858750503  0.107999471 -0.90059754
## [427,] -0.089626143  0.502335678  0.6297819108 -0.853389930 -0.32715442
## [428,]  0.152622304 -0.419930050 -1.7957096311  0.645904234 -0.02325321
## [429,] -0.408067381  0.925147226 -0.7250379746  0.500221747  0.30994476
## [430,] -0.099214592  0.515486361  0.9451449603 -0.617236590 -0.24273053
## [431,]  0.405498892  0.174616896  0.0880193831  0.450815554 -0.03665578
## [432,]  0.353099336 -0.334650257  0.1905461554  0.720305798 -0.25808485
## [433,] -1.163496864  0.167083207  0.1535673875 -1.297846357 -0.33379314
## [434,] -0.439543142  0.304690353  1.1129930007 -1.595343342  1.79572280
## [435,] -0.886079790  0.799881668 -0.1690177131 -0.118989492 -0.93617369
## [436,] -1.323805941  1.467581078  2.0537592855 -0.134098485 -0.24686327
## [437,] -0.549642802  0.402449547 -0.3361073676 -0.557090733 -0.38838864
## [438,]  0.055459868 -0.273582377 -0.4275376060  0.206083099 -0.36533272
## [439,] -0.697507478  1.711127147 -2.0364477145 -1.807645949  0.54204188
## [440,] -0.810434615 -0.226350902 -0.4735737202 -0.395841528  0.19001608
## [441,] -0.066153332 -0.297931187 -0.2227371446 -1.016862477  0.63036262
## [442,] -0.019878982  0.083412498  1.5133598265 -0.854816608  1.02995402
## [443,] -0.379401087 -0.181140905  0.1155466053  0.824139936 -0.99979219
## [444,]  1.783772803  0.302164339 -0.4773764193  1.317067729 -0.30570575
## [445,]  0.659393482  0.793912499 -0.8691863389  0.713711696 -0.09791983
## [446,] -0.314053852 -0.778555911 -0.4014396190  0.246232718 -0.33563437
## [447,]  0.548793958  0.294312059  0.0932835331  2.053964645 -2.26258457
## [448,] -1.654325477  0.315797255  0.4601942443 -1.174320773 -0.06454266
## [449,]  0.903086852  1.000171932 -1.4367506776  1.010691366  0.48436937
## [450,] -0.187656057 -0.578855658  2.4274228902  1.272061351  0.22565802
## [451,]  0.452467269  0.455376943 -0.2876506571  0.414722382  2.41018221
## [452,]  0.217665041  0.538428276 -0.8192375581  0.719403134  1.13169362
## [453,] -1.051931076 -0.163110643 -0.4347668561 -0.340412847  0.23879682
## [454,] -0.304689743  0.084186577 -0.9774225195  0.336644491 -1.10973169
## [455,]  0.796737244 -0.234585116  0.4740311202  1.398534027  0.09252151
## [456,]  0.112337240  0.177400347 -0.5549209246 -1.026392282 -1.16949129
## [457,]  0.519943150  0.017655775  0.9269519840  0.779933330  0.79073941
## [458,] -0.716074961 -0.019660815 -0.1325586852 -0.017687686 -1.16841022
## [459,]  0.842042036  0.116907442 -0.1605738252  0.358800628  2.85154915
## [460,] -0.780540175 -0.146312570 -0.4194713392  0.052832283 -0.23706271
## [461,]  0.861546417 -0.428043287  0.3239001757 -0.138428751  1.14241149
## [462,]  0.261546498 -0.541644795 -1.7805527831  1.338671341  0.03896826
## [463,] -0.002543948  0.236349513  0.8527779262 -0.976126092  0.75353383
## [464,] -1.447870619  0.796507804  0.1198723238 -0.160968241 -0.26272859
## [465,] -0.402251944 -0.583430764  0.0836062275  0.109720347 -0.70081842
## [466,] -0.111623486  0.174717173 -0.0950031599  1.356650459 -0.69625457
## [467,] -0.619127597  0.229149092 -1.0156279911  0.051576586 -1.52385263
## [468,] -0.383812181 -0.721514528 -0.7641350287  0.808561050 -0.34551111
## [469,] -0.505718510 -0.210917843 -0.5020709282  0.145411758  0.34540356
## [470,] -0.426191333 -0.040953145  1.8041767406  0.262308216  0.63328365
## [471,]  0.898961102 -0.085421816 -1.2653430571 -0.318436794  0.99170784
## [472,] -0.595435801  0.215069557 -0.8469119923 -0.092162746 -0.11837253
## [473,]  0.737118882  0.606726569 -0.3654640935 -0.629356728  1.36517170
## [474,] -0.564472472  0.478274325 -0.0648249565 -0.046955437 -0.33295729
## [475,]  0.098335601 -0.359437615  1.1743983763  0.310085782  1.14485491
## [476,] -0.113977635 -0.390024406  0.3223171745  0.718505221 -0.66310895
## [477,]  0.331371306 -0.539446311 -1.2285979858 -0.132958952  0.80128771
## [478,] -0.705202043 -0.423852724 -0.9839585095  0.834705815 -0.20720895
## [479,]  2.246847233 -0.942178327 -0.7100563737 -1.933861438 -2.01968676
## [480,] -0.642713173  0.510054073  0.5411217914 -0.648731719 -0.17061857
## [481,]  0.107365823 -0.661696620 -0.0396350702 -0.033311784  1.00434480
## [482,]  0.283436667  0.428801526  0.0152108266  1.367414993 -1.15687998
## [483,]  0.065400487  0.090158465 -0.5254960923 -0.177935666 -0.86873917
## [484,]  0.092906489  0.061647983 -0.0521118436 -0.592007983 -0.99638498
## [485,] -0.531949195  0.721855476  1.5371275051 -1.026919595 -0.42602493
## [486,] -1.012445984  0.169653265  0.6815610725  0.784833196 -0.57115814
## [487,] -0.720914426  0.662413186  1.6026673024 -1.266610191 -0.45200293
## [488,] -1.103671226  0.479647023  0.1349428804  0.104864287 -0.25261647
## [489,] -1.981092306 -4.112394400  0.8408855525 -0.504793020  0.49829923
## [490,] -0.481504071  0.145646764  0.7202406335  0.675654032 -0.07616772
## [491,]  1.286562053  0.571081315 -3.0045908425  2.200112545  1.39462383
## [492,] -0.902497916 -0.187893628 -0.6553447474 -0.159320534  0.54341724
## [493,]  0.939123331  0.395336650  0.5945369778  1.135394818 -1.02127820
## [494,] -0.478821327  0.009144093  0.4088724608 -0.139362745  0.67216639
## [495,]  1.132293919 -0.242035975 -0.1600572798 -0.063539472  1.03349420
## [496,]  0.375523152 -0.638876224 -0.4122664536  0.842437946  0.19833226
## [497,]  0.087127323  0.517119986 -1.0680172500  1.613468206 -0.36078416
## [498,]  0.147861559 -1.086699708 -0.5832488993 -0.327562849  0.42721919
## [499,] -0.842538598  0.222271008  0.3186220417 -0.854300824  1.52295605
##                 PC11          PC12         PC13         PC14         PC15
##   [1,]  1.3542167075 -0.8390318782 -1.335221239 -0.653479827 -1.201760984
##   [2,]  1.1119057703  0.8050495986  0.122044327  0.187913164 -0.118213324
##   [3,]  0.8047119226 -0.1774440450  1.735491254  0.062404790 -0.831311703
##   [4,]  0.4923129469 -0.3571799061 -0.104640411  0.012379354  0.396415206
##   [5,] -0.6793533175 -0.6529626298  0.195948672  0.943956948 -0.035879000
##   [6,]  0.0920774460 -0.3891777643 -1.414937674  0.473655936 -0.135087170
##   [7,] -0.1403325526  0.6861576912  1.947408696 -0.381963997 -0.241390831
##   [8,] -0.1273500471  0.4444874767 -0.064070801 -0.648846009  1.020479941
##   [9,] -0.2185516073 -0.5265172401 -0.721515723  0.184645475  0.650374109
##  [10,] -0.1475182801  0.3546807726 -0.156753465 -0.507987500  0.046211252
##  [11,] -1.1500378056 -0.9664273280 -0.756378824  0.770790917  0.217588839
##  [12,]  0.6229115273  0.3692609465 -0.681177690 -0.645329985 -0.455908973
##  [13,]  0.9589931767  0.4155300305 -1.004390277 -0.396077643 -0.143019564
##  [14,]  0.5629572594  1.1832388210  0.891912349  1.105293361 -0.285804947
##  [15,] -0.7580146110 -0.4245826202  1.238923011 -1.336075334 -0.616922621
##  [16,] -0.2752851337 -0.6342422588  0.038063559  0.650813121  0.672469605
##  [17,] -0.0303815755 -0.2276836198  0.555492026  0.638177913  0.038165845
##  [18,] -0.0001096449 -0.1311612888  1.165236566 -0.257115813 -0.430162545
##  [19,] -0.2276386065 -0.2716628718 -0.027488004  0.125562659  0.191491280
##  [20,]  0.5900361064 -0.3955407747 -0.552963079 -0.756706581 -0.593077800
##  [21,] -0.3618281726 -0.0995618058 -0.308617108 -0.010599219 -0.540934742
##  [22,]  1.2416785196 -1.9296164691 -0.316941644  0.473586995  0.116089027
##  [23,] -0.6517964559  0.3916285650  0.437846597 -0.194436931  0.362632658
##  [24,]  0.0930029515  0.0722223406  0.542685457  0.742737219 -0.731174203
##  [25,]  0.6539650679 -1.4120948005  1.137746124 -0.262194529 -0.988958125
##  [26,]  0.9610677650  0.3392853842  0.363601821  0.392254411  0.086615959
##  [27,] -1.4388112119  0.2947098666 -0.240396086 -0.042407846 -0.575471794
##  [28,] -0.1904098695  0.4618737983 -0.810035489  0.801402904  0.392560201
##  [29,] -0.0861874859 -0.2253184655  0.306845650  0.670217213 -0.211452310
##  [30,] -0.7354258530 -0.7295878981  0.465209606  1.187560482 -0.144557029
##  [31,] -0.3410652176  0.9248756130 -0.843890573 -1.696573356  0.033006063
##  [32,] -0.7417956391 -0.1924596310 -0.691507400 -1.177244687 -0.103323023
##  [33,]  1.3240225724  0.1459418445 -1.152195068  0.094129511  0.576323376
##  [34,] -0.6363827613  0.2013398294 -0.853389892 -1.541378698  0.877812519
##  [35,] -0.5647101277 -0.2781497714 -0.413960054 -0.166268715 -0.064692011
##  [36,] -0.0557013033  1.6127275983  0.817604676  0.742013543 -0.755493157
##  [37,] -0.1473745585  1.0210664472 -0.386338335 -0.379961410 -0.062531924
##  [38,]  0.0545683199 -0.3405148813  0.729673617 -0.569399881  0.128266858
##  [39,]  0.2926528023 -0.2057410002 -0.040422226  0.394097792  0.025946626
##  [40,]  0.2496095897 -0.0084896256  1.016777983  0.561339268 -0.494803252
##  [41,] -0.3415868702  0.3674537160  0.386789037  0.483660330  0.892373684
##  [42,]  0.7419103638  0.1343991905  0.423326385 -0.147659080  0.261871674
##  [43,] -0.7743143786  0.9448473759 -0.546705582 -2.087135617 -1.347601068
##  [44,]  0.6996024208  0.1386716838 -1.552192680  0.775046538 -0.562216191
##  [45,] -0.0257465232 -0.0532927218 -0.631829695  0.238653123 -0.228045333
##  [46,] -1.2094088125 -0.0421318917 -1.099271598 -0.766400435  1.270325525
##  [47,] -0.7719913054 -0.3918782250 -0.860040408  0.400716265 -0.699115286
##  [48,] -0.1415355327  0.1494277456  0.312059750  0.051668201 -0.617662984
##  [49,]  1.0351374441  0.0842553025 -1.032585112  0.042572684  0.715761384
##  [50,]  1.1461639339  0.2696271483  0.202237419 -0.748034704  0.718899176
##  [51,]  0.5914574471 -0.1805550956 -0.130799356  1.232288730  0.119425079
##  [52,]  0.8050018606 -0.8285746824  0.958237627  0.021691457  0.675840847
##  [53,] -0.4823485703 -0.5196757316  0.091033423  0.185206160  0.566789363
##  [54,] -0.3111851965 -0.2682652932 -0.191064621  0.242432434  0.032055615
##  [55,] -0.3758644789  0.2744836298  0.589152917 -0.102375631 -0.481857429
##  [56,] -0.2102820829  1.1897721774  0.968486339 -0.408075652 -0.616024095
##  [57,] -1.1145202622  0.2244600071 -0.329637050  0.462111227  0.256812493
##  [58,] -0.3011498706 -0.0315582847 -1.402890906  1.006464704 -1.138290394
##  [59,] -1.4242167006  0.1433279998  0.097917037 -0.294035807 -0.414302759
##  [60,]  0.4003121787  0.5322677799  0.238867126  0.232023420 -0.373699042
##  [61,]  0.5913373055 -1.3722988555  1.093437443  0.058265384 -0.110344779
##  [62,]  0.0676647440  0.4394543802  0.145957429  0.990822504  0.213467906
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## [444,] -0.0118578338  0.2167056829 -0.139841258 -0.079158883 -0.248988204
## [445,] -0.2594076997 -0.2340528473  0.394238322 -0.227507990 -0.861768888
## [446,]  0.0767863491  0.1333700678 -0.365010497  0.376970483  0.081686242
## [447,]  0.1496484054  0.1009842048  0.211803334 -0.326711371 -0.554114585
## [448,]  1.0246215066 -1.6390392053 -0.123394783  0.350233287 -0.682328862
## [449,]  0.2850164228 -1.0114445247  0.907943315  0.813616900  0.268210813
## [450,] -0.7122660898 -0.0128152788  0.196001229 -0.278968535  1.636069395
## [451,] -1.7454833061  0.7665395496  0.627907437 -0.675613832 -0.178201008
## [452,]  0.7747315003 -0.1202237902  0.722320483 -0.839643290  0.793894091
## [453,]  0.7524453398 -0.6895073216 -0.061345072 -0.445652095  0.356167184
## [454,] -0.3933010794 -0.3671611754 -0.780869409  0.987494583  0.203303393
## [455,]  0.0026198669 -0.8802674756 -0.785372543  1.424978381 -0.917184469
## [456,]  0.2574665235  1.1471140780  1.035702376 -1.539528315 -0.061546922
## [457,]  0.7052869999 -0.2661633479 -1.267466083  0.166861264  0.182632578
## [458,] -0.1289278833 -1.0539329571 -0.468353882 -0.054718268  0.610581317
## [459,] -0.6583929523  0.3565638446  0.891201043  1.340957293  1.172738485
## [460,]  0.5997449581 -0.0594637028 -0.878830998  1.524358320  0.077249043
## [461,] -1.0084826922  0.3059960745 -0.609230673  0.587991631  0.869284713
## [462,] -0.4616809390  0.2389002836 -0.995973363 -0.003072753 -1.381382722
## [463,] -0.8544543347 -1.2583469508  0.288232093  0.041521724 -0.610199844
## [464,] -0.0760541781 -0.9696472637  0.484579000  0.711429510 -0.347712868
## [465,] -0.0744563006 -0.3837242061 -0.629850960 -0.342404520  0.254829375
## [466,]  2.3877284251 -0.6445370373 -1.303752450 -0.468697114  0.592509936
## [467,] -0.4636329504 -0.7496778447  0.273959069 -0.241640528  0.949594352
## [468,] -0.0251216905 -0.6339815132 -0.262190402 -0.686569035  0.820004778
## [469,] -0.1704886134  1.8220164140  0.714124389  0.599641277  0.424073209
## [470,] -0.5121931214  0.6249539278  1.128841180 -0.372709147  0.464727608
## [471,] -0.5056180745 -0.4954712958 -1.152241099  0.475291344  0.491430314
## [472,]  0.2742365878 -0.1320067191 -0.913133130 -0.209019993  0.268050439
## [473,] -0.9646160585  0.6858109107 -0.879638380 -0.369950135  0.378353546
## [474,] -0.5952726045  0.9788733623 -0.048970287  0.104514966 -0.284067674
## [475,]  0.9635907772  1.2396342616 -1.515897563  0.306307515  0.566332634
## [476,] -1.0836690160  0.4484217807 -0.284191483  1.305403304 -0.910291760
## [477,] -1.2474742002 -0.8089627770 -0.759635489  0.205133359  0.340042685
## [478,]  0.1270371266 -1.4695069438 -0.171155629  0.021919871 -0.140628941
## [479,]  0.1530892910 -0.9015834717  0.580326359 -0.592355393 -0.227212800
## [480,] -0.1781778153 -0.2544763526  1.521623047 -1.192226967  0.331435149
## [481,] -1.6965259534 -0.1566650120  0.265957366  0.459491998  0.112317012
## [482,]  1.2715768281  1.7795248836 -0.077938273  0.099692926  0.844098233
## [483,]  0.4317369145 -0.2296982819 -0.118146241 -0.266244503  0.512565465
## [484,]  0.3638963142 -0.0005303922 -0.117540676 -0.454244107 -0.079427617
## [485,]  0.4747970273  0.4560764543 -0.165245093 -0.784073520  0.507677120
## [486,] -0.4665881355 -1.4842361392 -0.495078547  1.338317560 -0.517087594
## [487,]  0.5381076467  0.2561772157  0.458505597 -0.974226335  0.333396684
## [488,] -0.2179486181 -0.4411455092  0.204170284  0.355760929  0.508136428
## [489,]  0.2161722957  1.9287359750 -0.136144209  0.125484014 -0.642096358
## [490,]  0.3035417256 -1.1237087667  0.067009928 -0.613998521 -0.277005999
## [491,]  0.3810242318 -0.1666734610  1.296842497  0.069755433  0.899001459
## [492,]  0.9078925399 -0.2282314589 -0.606941580  0.690541851  0.158422637
## [493,] -0.4893926815 -0.4952354525 -1.187569008  0.629952148  0.851133117
## [494,]  0.2327953660 -0.0852221244  0.849059657  0.513800161  0.014909814
## [495,] -1.4649412529  0.5529571694 -0.445646364 -0.065352555 -0.396007604
## [496,] -0.0745516169  1.1884399671  1.009547836  0.010708070 -0.186283129
## [497,] -0.8880318353 -0.8524930333  0.168430308  0.262811058  0.590072028
## [498,]  1.2293121693  1.3237879309  0.805266934  0.853220026  0.093281795
## [499,] -0.9047601387 -1.3682466199  0.233433553 -0.240674932 -0.164573289
plot(Diabetes_pca$x,xlim=xlim,ylim=xlim)

Diabetes_pca$rotation[,1]
##               HighBP                  BMI               Smoker 
##          0.326149229          0.167626995          0.093333990 
##               Stroke HeartDiseaseorAttack         PhysActivity 
##          0.211842691          0.239087419         -0.291085313 
##    HvyAlcoholConsump        AnyHealthcare              GenHlth 
##         -0.090283959          0.005143826          0.440430257 
##             MentHlth             PhysHlth                  Sex 
##          0.233893964          0.349300603         -0.079777876 
##                  Age            Education               Income 
##          0.212579671         -0.320398143         -0.370084452
Diabetes_pca$rotation
##                               PC1          PC2         PC3         PC4
## HighBP                0.326149229  0.246399261 -0.13303779 -0.26080449
## BMI                   0.167626995 -0.101839483  0.04120408 -0.66482697
## Smoker                0.093333990  0.350190124  0.28938167  0.05229281
## Stroke                0.211842691  0.162241675 -0.13665199  0.37073969
## HeartDiseaseorAttack  0.239087419  0.316667386  0.01177870  0.29208452
## PhysActivity         -0.291085313 -0.057618287 -0.03361984  0.27464859
## HvyAlcoholConsump    -0.090283959 -0.002662284  0.24257599  0.16136839
## AnyHealthcare         0.005143826  0.329295696 -0.02590574  0.07389193
## GenHlth               0.440430257 -0.097915017  0.22701840 -0.03692534
## MentHlth              0.233893964 -0.265986788  0.38061240  0.30151528
## PhysHlth              0.349300603 -0.111540622  0.41669288  0.06206433
## Sex                  -0.079777876  0.433715325  0.43256510 -0.22683585
## Age                   0.212579671  0.450806495 -0.35680625  0.04305580
## Education            -0.320398143  0.186484273  0.19327836 -0.08877913
## Income               -0.370084452  0.221427867  0.30917390 -0.01554688
##                               PC5         PC6         PC7           PC8
## HighBP               -0.008269941 -0.10906402 -0.09655581 -0.2698343702
## BMI                  -0.071433125  0.03572986 -0.05743480 -0.5231458782
## Smoker                0.550101274  0.17628365 -0.18612003  0.0120565846
## Stroke               -0.401701344  0.27739720  0.01466837 -0.1542399862
## HeartDiseaseorAttack -0.195132878  0.27008153  0.01483961 -0.3002428568
## PhysActivity          0.342307829 -0.09372920 -0.03906327 -0.5642317955
## HvyAlcoholConsump    -0.283092530 -0.37582616 -0.79934851 -0.0963949484
## AnyHealthcare         0.129072603 -0.70109968  0.33836227 -0.0857513055
## GenHlth              -0.114296874 -0.13677232  0.07770650  0.1028945455
## MentHlth              0.182407069  0.04554311  0.21335985 -0.3036853105
## PhysHlth             -0.112870068 -0.23770044  0.12456154  0.1647823988
## Sex                   0.096176135  0.25417875 -0.06652457  0.1513946402
## Age                   0.034914264 -0.14596999 -0.05282487  0.0993500168
## Education            -0.380645175 -0.02380269  0.32104021 -0.2041259867
## Income               -0.253703680 -0.02291390  0.14131551 -0.0006541796
##                              PC9         PC10         PC11         PC12
## HighBP               -0.32944063 -0.357349004  0.110808684  0.136294368
## BMI                   0.26013875  0.145731702 -0.029611678 -0.050232966
## Smoker                0.37261357 -0.352592375 -0.321088908 -0.213702039
## Stroke                0.50830550 -0.209563654  0.432075377  0.040035634
## HeartDiseaseorAttack -0.17340541  0.540775940 -0.435655890 -0.140156256
## PhysActivity         -0.19189638  0.027185580  0.410766222 -0.408359237
## HvyAlcoholConsump     0.02699488 -0.003146716 -0.081614107  0.133060848
## AnyHealthcare         0.37486619  0.259043096  0.004676320  0.197339594
## GenHlth               0.02231245 -0.095542371  0.124716063 -0.211497810
## MentHlth             -0.19103418 -0.154036780 -0.068708928  0.590671465
## PhysHlth             -0.14370660  0.044890882  0.116925618 -0.480698849
## Sex                  -0.11572066  0.317028455  0.490189988  0.223919970
## Age                  -0.36258045 -0.171491658  0.025402519 -0.006981887
## Education            -0.06052129 -0.372124247 -0.238667548 -0.115815696
## Income               -0.11077971 -0.138820034 -0.003060682 -0.016800980
##                              PC13        PC14        PC15
## HighBP               -0.585988402 -0.08847753 -0.18655896
## BMI                   0.316706307  0.19736718 -0.05395146
## Smoker               -0.006698845  0.03241176 -0.02610930
## Stroke                0.043461280  0.03579847 -0.12886628
## HeartDiseaseorAttack -0.143795436  0.00484345  0.05542146
## PhysActivity          0.013493987 -0.01277978  0.12707956
## HvyAlcoholConsump     0.073539002 -0.07393938  0.03663940
## AnyHealthcare        -0.086324735 -0.03441972 -0.01159808
## GenHlth              -0.102959393  0.06712893  0.78110078
## MentHlth              0.215903965  0.06667656 -0.02789805
## PhysHlth              0.117119501 -0.04146314 -0.54157819
## Sex                   0.065262372 -0.23117564  0.06108071
## Age                   0.622968346  0.18299730  0.06392318
## Education             0.179008537 -0.52007680  0.11000067
## Income               -0.159175565  0.75892425 -0.01334982
plot(Diabetes[,-1])

Diabetes_pca$x
##                 PC1          PC2          PC3           PC4          PC5
##   [1,] -0.606240531 -0.398177515  2.391958872 -0.2383106771 -0.849227041
##   [2,]  0.352807562  2.830353077  0.002293405  0.3251954957 -1.543227577
##   [3,] -2.178113675  1.159551255  0.002062511  0.1841974664 -0.406924179
##   [4,] -0.926465857  1.912889526  0.678087521 -0.5739676536  0.514738888
##   [5,] -1.818475684 -0.049966573 -0.037373299  0.3764022678  0.784162415
##   [6,] -2.163596044 -3.776800002  0.374854500  1.2299026639 -0.245668765
##   [7,] -2.169569628  1.584375518  0.934135847  1.1467231594 -0.043214444
##   [8,]  0.410018794 -0.244220845  0.708821575 -0.8335133071  0.941381915
##   [9,] -2.255473061 -1.532074349  0.440338251 -0.2104653518 -0.874913480
##  [10,] -0.015428398 -0.071476543  0.881305129 -0.3898030050  0.899067779
##  [11,]  0.823915461  1.518058248 -0.931243547  1.2415755698  0.805118711
##  [12,] -3.359160479 -0.152943084  0.736066936  0.4546072340 -0.357326944
##  [13,] -1.935232397  0.678628476  0.298886842 -0.6341401395 -0.494977091
##  [14,]  1.177495858  0.074250873 -0.021325458 -3.8360558955 -0.605865256
##  [15,] -0.889377976 -0.320872696 -1.456080424  0.4881671112  1.696106536
##  [16,] -0.912251229 -0.015763802 -0.631110084  1.5237722632  1.414935038
##  [17,] -1.738441113 -0.697026763 -0.879499871  0.1992750422 -0.201299839
##  [18,] -2.320801387  1.317180255  0.440297993 -0.1961042303  0.841201444
##  [19,] -2.528846362 -0.440392279 -0.484142286  1.0442640296 -0.589561666
##  [20,]  0.342525268 -1.420096473  0.714265293 -1.2900570223 -1.367258714
##  [21,] -3.015466346 -0.718654644 -0.403400036  0.8535263483 -0.537830784
##  [22,]  1.038127484  1.079553946  2.160644012 -0.4933776094  0.351709034
##  [23,] -2.940616400 -0.483146821  0.763133788  1.6755372819 -2.051858581
##  [24,] -1.644467931 -0.890240937 -1.396780233  0.3230041143  0.374459258
##  [25,]  0.791264060 -1.616856831 -0.107904756  0.9238608396  0.308930030
##  [26,] -2.097172293  0.069325402  0.398220866 -0.0126187072 -0.075461614
##  [27,] -0.474682328  1.419714227 -0.643430572  0.1238195558 -0.100607637
##  [28,]  0.961013814 -0.590986484 -0.832699432 -1.0518672709 -0.727404742
##  [29,] -1.651639608 -1.403389957 -0.255879115 -0.5217829965 -0.298555910
##  [30,] -1.632691189 -0.377051615  0.159385549 -0.6877574285  0.658635224
##  [31,]  1.704135781 -2.164982745  1.656040529  1.4758181910  1.892349121
##  [32,] -1.361771076 -1.469442667  0.147203074  0.9989437926  1.449439776
##  [33,] -1.778087810 -0.784948456  0.695934712  0.6764068099  0.276939083
##  [34,] -0.036878893 -1.966125490 -0.336146676  0.4876191828 -0.566905743
##  [35,] -0.123794448  2.470797244 -0.066397476  0.2080989751  0.715706105
##  [36,] -1.195731733 -1.476909516 -0.467396531  1.6590965153  0.898281182
##  [37,] -2.190642492 -0.006794962  0.893728613 -0.5237881368 -1.208082754
##  [38,] -1.870313226  0.547837097  0.928549178 -0.8403512741  0.755669825
##  [39,] -2.090087049  0.471952090  1.119812203 -0.3084049804  0.933948664
##  [40,] -2.171239633  1.446853098  0.242581082  0.1839560441  1.137386903
##  [41,] -2.129855827 -0.838105324  0.844233475  1.3860766855 -1.802532550
##  [42,] -2.523281797  0.341560385  0.438992299 -0.0852170308 -0.465179351
##  [43,] -0.357933376  0.037659480  0.576466477 -3.0074346136  0.398232302
##  [44,] -1.104995565  0.361425481  0.967422919 -1.4551350126  1.184745327
##  [45,] -1.591538264  0.112916916 -0.840580130 -0.2352210252 -0.675480931
##  [46,]  0.434295880 -1.589273150  1.308210576  0.8172830145  0.325218741
##  [47,] -2.671945733 -0.319568428  0.104285728  1.3133139165  0.945867634
##  [48,] -2.091202644 -0.872289105 -1.012620173  0.7748441511  0.093833084
##  [49,] -2.254899214 -0.739252648  1.101274569 -0.0159292379 -0.252256799
##  [50,] -0.878134388  1.470189969 -0.601158520 -0.0801021844 -0.239220356
##  [51,] -0.021011650 -0.005302400 -1.404853976 -0.3089410320  0.043071162
##  [52,]  0.834590864 -0.417315288  2.939931546  0.4681054531  0.961788224
##  [53,]  0.524582441  2.436572199  0.043712945 -0.5700269952  0.548687229
##  [54,] -2.470454763 -1.134212205  0.024439403 -0.0134862709 -0.717761570
##  [55,] -2.467441524 -0.485954041 -0.694778037  1.0992146570 -0.270953059
##  [56,] -1.987414713  0.796848832 -0.091182111 -0.5010076763 -0.943247535
##  [57,] -1.387549504 -1.552782132  0.606928089 -1.6432891717 -1.703206521
##  [58,] -1.390369653  0.460850907 -0.730682770  0.6272840900  1.302101211
##  [59,] -3.264509549 -0.046106964  1.417001221  1.6847296908 -0.889176457
##  [60,]  3.088994827 -0.185924380  2.760913096 -0.6970309121  0.728253743
##  [61,] -0.143569338  0.364387021  3.025695360  0.5429814688  0.340223008
##  [62,]  2.047436690 -0.577100770 -1.567957456 -1.4643776885 -0.182694209
##  [63,] -0.096600756  1.734086549 -0.663235152  1.5892583589  0.289343703
##  [64,] -1.630750928  0.207938535  0.641837034  0.3520372553  0.012413351
##  [65,] -2.845029164 -0.513618475  1.182463366 -0.1521447367 -0.552552572
##  [66,]  3.242622839 -2.029394200  1.830341632  3.5751352480  0.770949705
##  [67,] -1.681017891  0.986498165  0.682794823 -1.2862442879  0.963852290
##  [68,] -0.694000679  2.592138654  0.560669429 -0.4785484105  0.051024165
##  [69,] -0.690127562 -0.566605055 -0.849195501 -0.4892813721 -0.219108844
##  [70,] -2.228591931 -1.692364661  0.167537626 -1.1248653201 -0.766711159
##  [71,] -2.661473973 -0.359873114  1.244245335  0.1811174059 -0.566171695
##  [72,] -1.781969331 -0.257651903  0.687450704  0.1196862702 -0.257188728
##  [73,]  3.730056691 -0.726358544  2.617701225  0.9515743710  1.542928528
##  [74,] -2.439695549 -0.058043391 -0.107332356  0.4106926735  0.251233472
##  [75,] -0.178500718 -0.628523357 -1.969896196  0.7251784543  0.608776384
##  [76,]  0.038640360  0.167825198 -1.384302034 -0.2740053592  1.448132137
##  [77,] -1.734280525 -0.850648257  0.368110103  1.4676670179  1.224648398
##  [78,] -1.811395539 -0.081585182  0.175425615 -0.9461092237 -0.089813549
##  [79,] -0.588754215 -1.469039759  0.849188809  0.8958811137  0.921021195
##  [80,] -0.139242711  0.487081484 -1.223953428 -0.5577896058  1.205124644
##  [81,] -3.057085303 -0.479155398 -0.564721822  1.3459097769 -0.473738775
##  [82,] -0.344622830 -0.448822284  1.100266866 -0.8511454998 -0.275718408
##  [83,]  1.640178510 -1.877442783  0.113202828 -0.7863296085 -0.182166113
##  [84,] -1.411764499 -0.245015010 -1.513446134  1.1898176543  0.294705815
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## [460,]  2.690776727 -1.740553145  1.266296499  0.6130126752  2.096372206
## [461,]  1.651209677  2.187579030  0.232289043 -0.7326918256  0.119217751
## [462,] -0.418698730 -1.058785873 -0.393032386 -1.1235719545  1.611701713
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## [470,]  0.523474164 -0.771320855 -1.904139818  0.1347213290 -0.016220399
## [471,] -0.214088712  2.025456501  0.821672818 -0.2662549567  0.312873989
## [472,] -0.450705924 -0.850755818 -0.949864966 -0.6693009064 -0.147526594
## [473,]  0.096310378  1.512768053  0.367931078 -1.1259075609 -1.775342818
## [474,]  0.803328451 -0.746689199 -0.569667428 -1.3011508030 -0.782782431
## [475,]  0.892743466 -0.438305982 -0.047196957 -1.4950940245 -0.046492162
## [476,]  0.356060813  0.492043653 -0.692537974 -1.3639765858  0.441310129
## [477,]  1.045887851  0.916963816 -1.063866425  0.4360234775  0.968385204
## [478,]  1.635114048 -0.769897410 -0.032617289 -1.3337104375  1.172894152
## [479,]  3.384171406 -3.748637982  2.117821826  0.4816992405  1.331831889
## [480,] -1.291011741 -0.113779752 -1.823243054  1.0629823077  0.027644080
## [481,]  3.533787560  0.724417347 -0.959931323 -0.2528729747  0.724664191
## [482,]  2.879625120 -0.654049208 -1.121197954  1.0800265997 -1.452424120
## [483,] -0.850903456  1.623654034  0.569517802 -0.9830378604  0.607818682
## [484,] -1.318214773  1.976303610  0.201731755 -0.2684015238  0.790390412
## [485,]  0.361009385  1.032882869  0.362646310 -0.8526734757 -1.222651324
## [486,]  2.419910959 -0.467962508  1.361856102 -1.6957131333 -0.239946023
## [487,]  0.848012547  1.207791455  0.136793317 -0.8840868077 -1.140291698
## [488,]  1.928009671 -0.712802251 -0.191821919 -2.1249145430 -1.303625077
## [489,] -0.563124316  0.759359402  0.919304979 -0.2326071543 -1.847350616
## [490,]  2.466669285  0.285668989  2.023340128 -2.3178875429 -0.081514443
## [491,]  1.689760534 -0.628515953 -0.764243010  0.8730984386 -1.825410930
## [492,]  1.383002288 -1.564340592 -0.707637680 -0.6349852108  0.570465104
## [493,]  2.310823507  2.213590654 -0.443856900  2.3661973991 -1.968676178
## [494,] -1.017633122 -0.695649989 -1.620639147  0.6159374994  0.445560536
## [495,]  0.534075967  2.353280633  0.166100274 -0.8657380323 -0.073079626
## [496,]  1.802404767  0.654498938  0.111833817 -2.6905861996  1.041598372
## [497,] -1.519954938 -0.766225511  0.756402636 -0.6577659353  0.338747875
## [498,]  1.835909217  0.435831380 -0.363222262 -0.4702983539  2.853131913
## [499,]  3.899033820 -0.105524086 -0.423141495 -0.5554354590 -1.196637653
##                 PC6          PC7           PC8          PC9        PC10
##   [1,] -0.699052021  1.205930605 -0.0112821754 -0.951136304  0.06884376
##   [2,]  1.082562585  0.297104939  0.6541236384  1.460367449 -1.97080227
##   [3,] -0.273591462  0.706550772  0.5522400135 -1.108877105  0.39950143
##   [4,] -0.091488613  0.204189735 -0.1390066316 -0.553897184 -1.06358860
##   [5,] -0.007442173  0.174931051 -0.0237622262  0.877005786 -0.34335305
##   [6,]  3.244907401 -0.956404400  0.8394687744 -1.120187755 -0.32854440
##   [7,] -1.550747818 -4.296760367  0.1147087503  0.076308038  0.11264444
##   [8,]  0.666348146 -0.343728103  1.6297411962  1.731932503  0.91501294
##   [9,] -0.215335983  0.994814738 -0.5639298659  0.873987844  0.30262761
##  [10,]  0.608329214 -0.238916354  1.9414432948  1.427041982  0.87908444
##  [11,]  0.065805170 -0.336648210 -0.4890413812 -0.855734412  0.40248378
##  [12,]  0.427104111  0.796995802  0.4298004120  0.055732905  0.81961391
##  [13,] -0.044086746  0.558356617 -0.3732863063 -0.776472862 -0.05733289
##  [14,]  0.045098985 -0.228437811 -0.9781711635  0.501169299  1.05301116
##  [15,]  0.073182344 -0.369727664 -0.0365622457  0.934173150  0.04313794
##  [16,] -0.245709946 -0.140319533  1.1591227162  0.374507056 -0.30153308
##  [17,] -0.398797991  0.456883852 -0.0858875841  0.083961779  0.38131272
##  [18,]  0.512602171  0.170704594 -0.0004955918  0.382520522 -0.01634302
##  [19,] -0.429100961  0.929421523  0.4311767789 -0.262220124 -0.18283428
##  [20,]  2.934298370 -1.140215819  1.8245005868 -2.118076190 -0.79384875
##  [21,] -0.193753824  0.885351512  0.1195846944  0.061072293  0.06754989
##  [22,] -0.895024244  0.381810079  0.5727846693 -0.679855018 -0.66328922
##  [23,] -2.332978115 -3.158205607 -0.2097473786 -0.050156122 -0.15708257
##  [24,] -0.248521806  0.019556817  0.0220025225  0.172054144  0.88183175
##  [25,] -1.221930984  0.456989018  0.8083529279 -0.422045123  0.83528632
##  [26,]  0.140292221  0.486681874  0.2754509861 -0.204752557  0.95304256
##  [27,] -0.378650307  0.339508132  1.2955598553 -0.313935066 -1.85433762
##  [28,] -0.710987617  0.138867438  0.8465962503 -0.021305526 -0.09182902
##  [29,] -0.232745626  0.528906392 -0.8394357690  0.706465171  0.70851161
##  [30,]  0.102810244  0.103883085 -0.8853212496  1.421099551 -0.05023004
##  [31,] -0.367959544  0.779177212 -1.0893717634  0.004956317 -1.17931716
##  [32,]  0.316237226  0.135287421 -0.0233081338  1.484937863  0.07933644
##  [33,]  0.195064195  0.285065150  1.1065987573  0.192843403  1.41957724
##  [34,] -0.262124642  0.589675732  1.9197772901  1.012744676  0.59398886
##  [35,]  0.854338132 -0.303084250 -0.9429483833 -0.790164455  0.92326005
##  [36,] -0.163802839  0.609802385 -0.2978892856 -0.535930757  0.36602658
##  [37,]  0.474834266  0.893881407  1.4492960692  0.496353661  0.70035301
##  [38,]  0.597975512  0.183755412 -0.4719943581  1.076315718  0.27870682
##  [39,]  0.628780277  0.061877295  0.0614908993  0.983530968  0.47137835
##  [40,]  0.455987337 -0.069377375  0.4566972984  0.145628520  0.15302947
##  [41,] -2.401157431 -3.405450039 -0.2641392637  0.151975123  0.18202014
##  [42,]  0.124897284  0.736181286  0.2148846221 -0.237101343  0.60965752
##  [43,]  1.003456909 -0.260883392 -0.8876550983  1.932669232  0.30232297
##  [44,]  0.572397309 -0.462048509 -0.8924644942  0.897160414  0.37094486
##  [45,] -0.664944681  0.646712327 -0.6835020240 -0.771133473 -0.80939690
##  [46,] -0.025000137  0.656027364  1.7755469741  1.599833587 -0.37632343
##  [47,]  0.220362772  0.249164759  0.5277998722  0.886763600 -0.28029578
##  [48,] -0.231503331  0.442300608  0.0874378558  0.013051333  0.44469128
##  [49,]  0.294917365  0.600615469  0.3904403120  0.472420116  1.18055118
##  [50,] -0.490123612  0.423647696  0.3106337588 -1.648997113 -0.50053903
##  [51,] -0.945079803 -0.010679160 -0.2680787381 -0.920346342 -0.22943167
##  [52,] -0.331716718  0.826981843  0.3155416197  0.106580273  0.02221850
##  [53,]  0.724121906 -0.321829523 -1.4179277915 -0.606651298  0.94510976
##  [54,] -0.205244417  0.924439103 -0.5422654654  0.525508203  0.21745043
##  [55,] -0.316470297  0.899313855  0.0375093262 -0.412598954 -0.15848762
##  [56,]  0.337817971  0.658747909  1.4698551378 -0.105944120  0.54805769
##  [57,]  0.005083927  1.016052971 -0.0275815412  1.601268123  0.43762819
##  [58,] -0.126085535 -0.339387997  0.0572755296 -0.018378090 -0.78099884
##  [59,] -1.750021903 -3.566455373 -0.4222275966  0.981420346 -0.63309884
##  [60,] -0.448278433  0.487577680  0.7825541849 -0.231934682 -0.40171128
##  [61,] -0.476289763  1.126904100  0.5685807044 -0.266531683 -0.38169677
##  [62,] -0.847045338 -0.377213554  0.7365870213 -0.072107592  0.33278925
##  [63,]  0.103567603  0.248548055 -0.5802496377 -1.038060566 -0.19541383
##  [64,]  0.070147818  1.004103003 -0.4020743037 -0.878324091  0.23016305
##  [65,]  0.346264540  0.859003406  0.0648260109  0.403369456  0.93547567
##  [66,]  0.183014510  0.747342981 -0.2190694962  1.853006634 -0.78820813
##  [67,]  0.548760306 -0.243250039 -0.9531461489  0.477545411 -0.07258834
##  [68,]  0.895810117  0.100445927 -1.6259748346 -0.588899037  0.63173115
##  [69,] -0.716112116  0.288303944 -0.7067651418 -0.433686160 -0.15042372
##  [70,] -0.036679415  0.783144781 -1.4017395018  1.276902148  0.65504750
##  [71,]  0.156454001  0.927351018  0.4100405808  0.084712269  0.83222838
##  [72,]  0.320961935  0.711165382  1.0878181477  1.429398874 -0.69047327
##  [73,] -0.416457514  0.614165612  1.3736448800 -0.762154159 -0.62207341
##  [74,]  0.318772435  0.288581097  0.5863189890 -0.115074344  1.15157060
##  [75,] -0.688708718 -0.080449413  0.6460576606 -0.327039536  0.56588720
##  [76,] -0.266916061 -0.454186096 -0.6500777211  0.305421931 -0.78894545
##  [77,]  0.168956917  0.371426277  0.2721816920  0.872021022 -0.35477613
##  [78,]  0.209116118  0.283155150 -0.3388759265  0.243004235  1.23714713
##  [79,] -0.203520518  0.330600794  0.5874042102  1.412074637 -0.02385898
##  [80,] -0.325805652 -0.372964842 -0.8389247736  0.185035389 -0.91283655
##  [81,] -0.273277212  0.907003386  0.5312185335 -0.259292331 -0.10023836
##  [82,] -0.220348544  0.476557908  0.8851006124  1.409445784 -0.07484816
##  [83,] -1.325932301  0.404615706 -0.5178500728 -0.067801966  0.30872474
##  [84,] -0.583804461  0.164459485  0.8949131846 -0.595342996  0.36027315
##  [85,]  0.438579931 -0.007219941 -1.3755283360  0.300790860 -0.47270748
##  [86,] -0.107924000  1.096742542  0.0007540630  0.552898942  0.20450515
##  [87,] -0.146857943  0.900442801 -0.6904458628  0.758221046  0.34209482
##  [88,]  1.066095519  0.701588698 -0.6834773050  1.414757131 -0.42172504
##  [89,]  1.926358944 -0.352094606  1.0505612383 -2.612703283 -1.85133871
##  [90,]  3.727106767 -1.410372949  1.5989389453 -1.003682439 -1.30376320
##  [91,] -0.386739652 -0.515628703 -0.4418871335  0.272410240 -0.67781039
##  [92,]  0.181161794  0.480639652  0.6739629948 -0.194270467  0.94643404
##  [93,]  0.097317681  0.089266803  0.4417247331 -0.557434031  1.04453794
##  [94,]  0.267703318  0.582140103 -0.0980122989 -0.095204368  0.81585352
##  [95,] -0.081248149  0.481371290  0.5756332163  0.154925005  0.16470085
##  [96,] -0.530488389  0.497909090  0.3776192858 -0.679738560 -0.12941668
##  [97,] -0.484205844  0.198175335  0.8352484261 -0.188129617  0.62556655
##  [98,] -0.366943750  0.712912723 -0.6917573039 -0.004449726  0.09029062
##  [99,] -0.543150830  0.487136883 -0.1126456535  0.007195749  0.27949943
## [100,]  1.265292782 -5.667718708 -1.4860087526 -0.168482230  0.29028467
## [101,] -1.155752117  0.994066220  0.9504186390 -1.409958151 -1.13782559
## [102,]  0.293951946  1.434500614 -0.4902407955 -0.727185778  0.88588926
## [103,]  0.473123765  0.676651610 -0.0948219799  0.365913953  1.02744572
## [104,]  0.120482473  0.309318311 -0.2642106223 -0.566050182  0.87954715
## [105,]  0.282923159  0.208901263 -0.3171749490  0.661665429  1.62247885
## [106,] -1.397658047  0.320590832  1.6781782514 -0.958403593 -0.12440780
## [107,] -0.011091258 -0.227324918  0.8324080280  0.361657092 -0.15752137
## [108,]  0.440461148  0.461753353 -0.0126865674  0.915454744  0.04157233
## [109,]  0.404366011  0.221388577  0.8437678126  0.144800577 -0.92619440
## [110,]  0.052036591 -0.075430151  1.0890063344  1.191940516  1.11213757
## [111,] -0.125516910  0.152373343  0.1996052064  0.534582056 -0.51181653
## [112,]  0.854947180 -0.310389296  1.8276489000  1.408901491  0.85119283
## [113,] -0.368602280 -0.273506261 -1.2376118146  0.512655799 -0.86768780
## [114,] -0.394659972  0.055363247 -0.5101268171 -0.183205618 -1.47765878
## [115,] -1.333410806  0.991763475  1.1553908560 -0.430207372  0.31188510
## [116,]  0.383357368  0.714768848  0.4667869206 -0.029027052  0.81787922
## [117,] -0.019293450  0.030593244  0.8404022482  0.809024234 -0.02946938
## [118,]  0.629103798 -0.293507026  1.1387468848  0.962283856  0.08585850
## [119,]  0.220619460  0.771625682  1.4078144052 -0.061400145  0.44630732
## [120,]  0.586813590 -0.023255880  0.9616176689  2.051815759  0.40104782
## [121,]  0.430676950  0.301759660  0.4068413484  0.398363802  0.35069671
## [122,]  3.955003607 -0.247527927 -1.2830905199 -1.349016689 -0.17391154
## [123,] -0.349278469  0.700472604  0.1453409104  0.117234501  0.43275883
## [124,] -2.674345806 -3.261019788 -0.2872882543 -0.101535632  0.16693415
## [125,]  0.453440084  0.798767765  0.0699853621  0.578316236  1.03043201
## [126,]  0.492992378  0.339070803  0.0140463658  0.620335467 -0.03318642
## [127,]  0.046242539 -0.396841292 -1.0938301533 -1.381265696  1.47955313
## [128,] -0.544582436  0.875524934  0.8240106581 -0.385183675 -0.98860911
## [129,] -0.458211639  0.779561150  0.2280780918 -0.571257892 -0.22827405
## [130,]  0.331753193  0.287294800  0.3461139690  0.260639689 -0.15182601
## [131,] -0.905027908  0.266047371 -0.5038533474 -0.443934252 -0.68788214
## [132,]  0.196281790  0.890730514 -0.1089235743  0.247239989  0.74138501
## [133,]  0.249386422  0.138488558 -0.0306218114 -0.496179621 -0.88206016
## [134,]  0.151894078 -0.684170894 -0.4332166982  0.185664451  0.05201403
## [135,] -0.360622921  0.835049586  0.3046607819 -0.377986922 -0.14336708
## [136,]  0.186482858  0.505957936 -0.2637388200  0.777921729 -1.65239663
## [137,] -0.071674935  0.125634825  0.3131744053  0.643093070 -0.42864423
## [138,]  0.243777256 -0.713497468  0.9120972433  0.338991207  0.80482042
## [139,]  0.656286279  0.033366814  0.5348751480  0.569458650  0.34373254
## [140,]  3.401966508 -1.296914241  0.1317496681 -1.728420407 -2.03101917
## [141,] -0.446036883  0.944688192 -0.1359479060 -1.659729200  1.66066118
## [142,]  0.221674404 -0.219965771 -0.7780016816  0.334412594 -0.28061790
## [143,]  3.665052942 -2.219994186  0.5680045868 -1.619133174 -0.97985105
## [144,]  0.079296724 -0.279771802  2.4532274658  0.419557401  0.31653974
## [145,] -0.354668655  0.691200965  0.3800594265 -0.058659473  0.24478250
## [146,]  3.193879467 -0.676548122  0.3274859166 -1.167355872 -0.84617949
## [147,] -0.377022602  0.546938193 -0.1382769120 -1.293036249 -0.39262403
## [148,] -0.209426819 -0.158810887 -0.3878942574  0.215124389 -0.97105317
## [149,]  0.951500791 -0.670737394 -0.9335048718 -0.474440722  1.44697926
## [150,] -1.544522634 -3.153324017 -0.0694851449  0.719706086  0.91227088
## [151,]  0.372652933  0.245673567 -0.3938316669 -1.486423617  0.20714136
## [152,]  0.067028133  0.478203293  0.6405785470 -0.673249474  1.66035028
## [153,] -0.641566719  0.725464058 -0.4086299332 -1.119976513 -0.85108696
## [154,] -0.319650883  0.769188130 -0.2952394637 -0.079681402  0.02374593
## [155,] -0.247327274 -0.167745313 -0.5396639828  0.131564306 -1.01214105
## [156,] -0.021971903  1.690731401 -1.6614836500 -0.022722835 -0.21467605
## [157,] -0.260204579 -0.035873869  0.9849588667  0.358094922 -1.23266065
## [158,]  0.057580013 -0.122179288 -0.0300118570 -0.318192183 -0.65691319
## [159,]  0.313353528  0.230545642  0.1286922314  0.087913371  1.12283373
## [160,] -0.169081787 -0.100744705  0.3504812093  0.793362336 -0.10587811
## [161,] -0.381054733  0.961152853 -0.1342209542 -0.111129348 -0.11607009
## [162,] -0.392387116  0.571636239  0.0866856801 -1.404900819 -0.45529141
## [163,] -0.183510814  0.868886148 -0.0303903670  0.135648673  0.10932814
## [164,] -3.198607561 -3.328513860  0.6456042964 -0.231422753 -0.07941168
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## [359,] -1.023194931  0.526969649  0.5925519129 -1.708463577  0.18708936
## [360,] -0.622531741 -0.216499303  1.5757666207 -0.154092214  0.14144615
## [361,] -0.358433159 -0.336221679 -1.2373214916  0.561819517 -0.80607987
## [362,]  0.286952937  0.040366423  0.5476656205  3.353424861 -0.08405959
## [363,] -0.366277742  0.162288247 -0.3221507337 -0.210310231 -1.53859148
## [364,]  0.754140748 -0.043924780  0.4644317256 -0.528728865  0.57691402
## [365,]  0.458886715 -0.622539394 -1.4667976991 -0.077513885  0.92498666
## [366,]  0.127686804  0.266958072 -1.1696535634 -1.508519269  1.50203129
## [367,] -0.975875689  0.608463333  1.3980889408 -0.354895285 -0.44090395
## [368,] -0.691514569 -0.331583096 -0.9766159255  0.025548793  0.43574884
## [369,]  0.777325736  0.143714926 -0.2560151018 -0.276607777  0.42775542
## [370,]  0.839473565  0.191005429 -0.8011119969 -0.999069126  0.40195075
## [371,] -0.635777957  0.078333911  1.0645791357 -0.448305514 -0.29996816
## [372,] -0.544336595  0.032851519  0.6684124646 -0.388189210 -0.35017052
## [373,]  0.024183537  0.036980837  0.4916594578 -0.410887878  1.19627789
## [374,]  0.003485487  0.266491974  0.8226438696  0.986155398 -0.74288771
## [375,]  0.076232955  0.153437376  1.0771830042 -0.148707335 -0.52105562
## [376,]  0.330919236  0.585836003 -0.9252780873 -1.747569159  1.02486614
## [377,]  0.284167922  0.239214829 -1.1383073255 -0.813612049 -0.72063429
## [378,]  2.781141942 -0.996956143  0.6064592025 -1.831005798 -0.95010600
## [379,]  2.633297996 -1.699052969  0.1749884880 -2.298011735 -1.11606392
## [380,] -0.198933980 -0.528849124 -0.2067306783 -0.416450529 -0.22936189
## [381,]  1.119789361  0.776487949 -1.2503075040 -0.629612342  0.30657099
## [382,]  0.123221300  1.245468037 -2.5723258673 -1.451778946 -0.76264767
## [383,] -0.360710452 -0.144773046 -2.0950025548 -1.029651367  2.37633176
## [384,] -0.820688488  0.249760800 -0.1630684451  0.519222264  0.34559830
## [385,]  0.496355033 -0.514126199 -0.7553130283  1.315428220  0.60420900
## [386,] -1.049333789  0.371669732 -0.6040599529 -0.968356913 -0.21100448
## [387,] -0.741743143  0.059354879  0.0216244140 -0.698583092 -0.17839621
## [388,]  0.395774142 -1.356188701  1.6037532687  0.631806744  0.76792979
## [389,]  0.339777713 -0.347411600  2.4726969740  0.341414318  0.24231733
## [390,] -0.597366017  0.970734624 -1.8028337806 -1.118239575 -0.77638695
## [391,] -0.335746271 -0.736705684 -0.7409662873  0.569054154 -0.40943009
## [392,] -0.500279818  0.921955105 -0.1554863456  0.092504899 -0.07675284
## [393,]  0.122923687 -0.213241110  2.7098599986 -0.430258600  2.07097039
## [394,] -0.290229955  0.070225548  0.1918427870  0.578119722 -0.48753317
## [395,] -0.387978471 -0.058583159  0.2421617687 -0.315892379  0.69378183
## [396,]  0.199738322 -0.838112211  0.0407481966 -0.130080430  0.04758408
## [397,] -0.576800222  0.886544600 -0.4603054967  0.115874596 -0.02654473
## [398,]  0.183366774  1.725875496 -0.8211463116 -0.435498233 -0.60594407
## [399,]  0.778417781  0.562359604 -1.9619296639 -0.055187290 -0.17310789
## [400,] -0.442621601 -0.005953921  1.0132426383 -0.602038936  0.07178672
## [401,] -0.857192800  0.211117551 -0.0252394735 -0.963451156 -0.55974512
## [402,]  1.089708674 -0.180731743 -2.2386944677  1.397703790  1.06865674
## [403,] -0.513862120 -0.298379041  0.8749809671 -0.036823405  0.27948369
## [404,] -1.008510227  0.029210042 -0.0662848874 -0.792704016 -0.22818007
## [405,] -0.009789551  0.760943851 -0.1486105743 -0.152377354  0.57020545
## [406,] -0.836052221  0.174872143 -0.1598016083 -0.503568676 -0.34998647
## [407,] -0.793459986 -0.208977856 -0.2790498993 -0.632498338 -0.01581201
## [408,] -1.653008634 -3.818207319  0.3884782135 -0.567863328  0.94678844
## [409,] -0.642408114 -1.271393912  0.4793348092  0.129021082  0.00864990
## [410,] -0.121635347  0.306594486  0.3826322147 -0.710138415 -1.13736479
## [411,] -0.755766824  0.291337924  1.1644164409 -0.682973859 -0.65064762
## [412,]  2.873991942 -1.452321017 -2.6719563186 -0.432878644 -0.74538297
## [413,]  0.555489220  0.201224849 -0.2462561666  2.506361808 -2.05805369
## [414,] -1.724690725  0.153673390  0.5468770515 -1.400266281  0.09499478
## [415,]  0.385055498  0.630416358 -0.5510937708  0.181331425 -0.36965104
## [416,] -0.204289522  1.078257681 -2.3976320636 -1.054880795 -0.16385334
## [417,] -0.457180800  0.442290318  0.1911841203  0.223479633  0.42328312
## [418,] -0.132964814  0.817084369  1.1112663957  1.250054785 -0.87196979
## [419,]  0.710958261 -0.664684754 -0.3966598722 -0.860433991  1.19553564
## [420,] -0.650792148  0.598655561  0.3732704649 -0.366108957 -0.86878455
## [421,]  2.624039316 -1.274953726 -0.8298510389 -2.632167019 -1.26280111
## [422,] -0.246758479  0.237061352 -0.3332948353  0.256445947  0.09498334
## [423,] -0.767067298 -0.254329770  0.1239072111 -0.404761384 -0.97267732
## [424,] -0.980589450  1.158704521  1.2668814452 -1.289844811 -0.41094930
## [425,]  0.308811256  0.137768895 -1.1856437807 -0.736527696 -0.12147038
## [426,]  0.022846455  0.345430872  0.6858750503  0.107999471 -0.90059754
## [427,] -0.089626143  0.502335678  0.6297819108 -0.853389930 -0.32715442
## [428,]  0.152622304 -0.419930050 -1.7957096311  0.645904234 -0.02325321
## [429,] -0.408067381  0.925147226 -0.7250379746  0.500221747  0.30994476
## [430,] -0.099214592  0.515486361  0.9451449603 -0.617236590 -0.24273053
## [431,]  0.405498892  0.174616896  0.0880193831  0.450815554 -0.03665578
## [432,]  0.353099336 -0.334650257  0.1905461554  0.720305798 -0.25808485
## [433,] -1.163496864  0.167083207  0.1535673875 -1.297846357 -0.33379314
## [434,] -0.439543142  0.304690353  1.1129930007 -1.595343342  1.79572280
## [435,] -0.886079790  0.799881668 -0.1690177131 -0.118989492 -0.93617369
## [436,] -1.323805941  1.467581078  2.0537592855 -0.134098485 -0.24686327
## [437,] -0.549642802  0.402449547 -0.3361073676 -0.557090733 -0.38838864
## [438,]  0.055459868 -0.273582377 -0.4275376060  0.206083099 -0.36533272
## [439,] -0.697507478  1.711127147 -2.0364477145 -1.807645949  0.54204188
## [440,] -0.810434615 -0.226350902 -0.4735737202 -0.395841528  0.19001608
## [441,] -0.066153332 -0.297931187 -0.2227371446 -1.016862477  0.63036262
## [442,] -0.019878982  0.083412498  1.5133598265 -0.854816608  1.02995402
## [443,] -0.379401087 -0.181140905  0.1155466053  0.824139936 -0.99979219
## [444,]  1.783772803  0.302164339 -0.4773764193  1.317067729 -0.30570575
## [445,]  0.659393482  0.793912499 -0.8691863389  0.713711696 -0.09791983
## [446,] -0.314053852 -0.778555911 -0.4014396190  0.246232718 -0.33563437
## [447,]  0.548793958  0.294312059  0.0932835331  2.053964645 -2.26258457
## [448,] -1.654325477  0.315797255  0.4601942443 -1.174320773 -0.06454266
## [449,]  0.903086852  1.000171932 -1.4367506776  1.010691366  0.48436937
## [450,] -0.187656057 -0.578855658  2.4274228902  1.272061351  0.22565802
## [451,]  0.452467269  0.455376943 -0.2876506571  0.414722382  2.41018221
## [452,]  0.217665041  0.538428276 -0.8192375581  0.719403134  1.13169362
## [453,] -1.051931076 -0.163110643 -0.4347668561 -0.340412847  0.23879682
## [454,] -0.304689743  0.084186577 -0.9774225195  0.336644491 -1.10973169
## [455,]  0.796737244 -0.234585116  0.4740311202  1.398534027  0.09252151
## [456,]  0.112337240  0.177400347 -0.5549209246 -1.026392282 -1.16949129
## [457,]  0.519943150  0.017655775  0.9269519840  0.779933330  0.79073941
## [458,] -0.716074961 -0.019660815 -0.1325586852 -0.017687686 -1.16841022
## [459,]  0.842042036  0.116907442 -0.1605738252  0.358800628  2.85154915
## [460,] -0.780540175 -0.146312570 -0.4194713392  0.052832283 -0.23706271
## [461,]  0.861546417 -0.428043287  0.3239001757 -0.138428751  1.14241149
## [462,]  0.261546498 -0.541644795 -1.7805527831  1.338671341  0.03896826
## [463,] -0.002543948  0.236349513  0.8527779262 -0.976126092  0.75353383
## [464,] -1.447870619  0.796507804  0.1198723238 -0.160968241 -0.26272859
## [465,] -0.402251944 -0.583430764  0.0836062275  0.109720347 -0.70081842
## [466,] -0.111623486  0.174717173 -0.0950031599  1.356650459 -0.69625457
## [467,] -0.619127597  0.229149092 -1.0156279911  0.051576586 -1.52385263
## [468,] -0.383812181 -0.721514528 -0.7641350287  0.808561050 -0.34551111
## [469,] -0.505718510 -0.210917843 -0.5020709282  0.145411758  0.34540356
## [470,] -0.426191333 -0.040953145  1.8041767406  0.262308216  0.63328365
## [471,]  0.898961102 -0.085421816 -1.2653430571 -0.318436794  0.99170784
## [472,] -0.595435801  0.215069557 -0.8469119923 -0.092162746 -0.11837253
## [473,]  0.737118882  0.606726569 -0.3654640935 -0.629356728  1.36517170
## [474,] -0.564472472  0.478274325 -0.0648249565 -0.046955437 -0.33295729
## [475,]  0.098335601 -0.359437615  1.1743983763  0.310085782  1.14485491
## [476,] -0.113977635 -0.390024406  0.3223171745  0.718505221 -0.66310895
## [477,]  0.331371306 -0.539446311 -1.2285979858 -0.132958952  0.80128771
## [478,] -0.705202043 -0.423852724 -0.9839585095  0.834705815 -0.20720895
## [479,]  2.246847233 -0.942178327 -0.7100563737 -1.933861438 -2.01968676
## [480,] -0.642713173  0.510054073  0.5411217914 -0.648731719 -0.17061857
## [481,]  0.107365823 -0.661696620 -0.0396350702 -0.033311784  1.00434480
## [482,]  0.283436667  0.428801526  0.0152108266  1.367414993 -1.15687998
## [483,]  0.065400487  0.090158465 -0.5254960923 -0.177935666 -0.86873917
## [484,]  0.092906489  0.061647983 -0.0521118436 -0.592007983 -0.99638498
## [485,] -0.531949195  0.721855476  1.5371275051 -1.026919595 -0.42602493
## [486,] -1.012445984  0.169653265  0.6815610725  0.784833196 -0.57115814
## [487,] -0.720914426  0.662413186  1.6026673024 -1.266610191 -0.45200293
## [488,] -1.103671226  0.479647023  0.1349428804  0.104864287 -0.25261647
## [489,] -1.981092306 -4.112394400  0.8408855525 -0.504793020  0.49829923
## [490,] -0.481504071  0.145646764  0.7202406335  0.675654032 -0.07616772
## [491,]  1.286562053  0.571081315 -3.0045908425  2.200112545  1.39462383
## [492,] -0.902497916 -0.187893628 -0.6553447474 -0.159320534  0.54341724
## [493,]  0.939123331  0.395336650  0.5945369778  1.135394818 -1.02127820
## [494,] -0.478821327  0.009144093  0.4088724608 -0.139362745  0.67216639
## [495,]  1.132293919 -0.242035975 -0.1600572798 -0.063539472  1.03349420
## [496,]  0.375523152 -0.638876224 -0.4122664536  0.842437946  0.19833226
## [497,]  0.087127323  0.517119986 -1.0680172500  1.613468206 -0.36078416
## [498,]  0.147861559 -1.086699708 -0.5832488993 -0.327562849  0.42721919
## [499,] -0.842538598  0.222271008  0.3186220417 -0.854300824  1.52295605
##                 PC11          PC12         PC13         PC14         PC15
##   [1,]  1.3542167075 -0.8390318782 -1.335221239 -0.653479827 -1.201760984
##   [2,]  1.1119057703  0.8050495986  0.122044327  0.187913164 -0.118213324
##   [3,]  0.8047119226 -0.1774440450  1.735491254  0.062404790 -0.831311703
##   [4,]  0.4923129469 -0.3571799061 -0.104640411  0.012379354  0.396415206
##   [5,] -0.6793533175 -0.6529626298  0.195948672  0.943956948 -0.035879000
##   [6,]  0.0920774460 -0.3891777643 -1.414937674  0.473655936 -0.135087170
##   [7,] -0.1403325526  0.6861576912  1.947408696 -0.381963997 -0.241390831
##   [8,] -0.1273500471  0.4444874767 -0.064070801 -0.648846009  1.020479941
##   [9,] -0.2185516073 -0.5265172401 -0.721515723  0.184645475  0.650374109
##  [10,] -0.1475182801  0.3546807726 -0.156753465 -0.507987500  0.046211252
##  [11,] -1.1500378056 -0.9664273280 -0.756378824  0.770790917  0.217588839
##  [12,]  0.6229115273  0.3692609465 -0.681177690 -0.645329985 -0.455908973
##  [13,]  0.9589931767  0.4155300305 -1.004390277 -0.396077643 -0.143019564
##  [14,]  0.5629572594  1.1832388210  0.891912349  1.105293361 -0.285804947
##  [15,] -0.7580146110 -0.4245826202  1.238923011 -1.336075334 -0.616922621
##  [16,] -0.2752851337 -0.6342422588  0.038063559  0.650813121  0.672469605
##  [17,] -0.0303815755 -0.2276836198  0.555492026  0.638177913  0.038165845
##  [18,] -0.0001096449 -0.1311612888  1.165236566 -0.257115813 -0.430162545
##  [19,] -0.2276386065 -0.2716628718 -0.027488004  0.125562659  0.191491280
##  [20,]  0.5900361064 -0.3955407747 -0.552963079 -0.756706581 -0.593077800
##  [21,] -0.3618281726 -0.0995618058 -0.308617108 -0.010599219 -0.540934742
##  [22,]  1.2416785196 -1.9296164691 -0.316941644  0.473586995  0.116089027
##  [23,] -0.6517964559  0.3916285650  0.437846597 -0.194436931  0.362632658
##  [24,]  0.0930029515  0.0722223406  0.542685457  0.742737219 -0.731174203
##  [25,]  0.6539650679 -1.4120948005  1.137746124 -0.262194529 -0.988958125
##  [26,]  0.9610677650  0.3392853842  0.363601821  0.392254411  0.086615959
##  [27,] -1.4388112119  0.2947098666 -0.240396086 -0.042407846 -0.575471794
##  [28,] -0.1904098695  0.4618737983 -0.810035489  0.801402904  0.392560201
##  [29,] -0.0861874859 -0.2253184655  0.306845650  0.670217213 -0.211452310
##  [30,] -0.7354258530 -0.7295878981  0.465209606  1.187560482 -0.144557029
##  [31,] -0.3410652176  0.9248756130 -0.843890573 -1.696573356  0.033006063
##  [32,] -0.7417956391 -0.1924596310 -0.691507400 -1.177244687 -0.103323023
##  [33,]  1.3240225724  0.1459418445 -1.152195068  0.094129511  0.576323376
##  [34,] -0.6363827613  0.2013398294 -0.853389892 -1.541378698  0.877812519
##  [35,] -0.5647101277 -0.2781497714 -0.413960054 -0.166268715 -0.064692011
##  [36,] -0.0557013033  1.6127275983  0.817604676  0.742013543 -0.755493157
##  [37,] -0.1473745585  1.0210664472 -0.386338335 -0.379961410 -0.062531924
##  [38,]  0.0545683199 -0.3405148813  0.729673617 -0.569399881  0.128266858
##  [39,]  0.2926528023 -0.2057410002 -0.040422226  0.394097792  0.025946626
##  [40,]  0.2496095897 -0.0084896256  1.016777983  0.561339268 -0.494803252
##  [41,] -0.3415868702  0.3674537160  0.386789037  0.483660330  0.892373684
##  [42,]  0.7419103638  0.1343991905  0.423326385 -0.147659080  0.261871674
##  [43,] -0.7743143786  0.9448473759 -0.546705582 -2.087135617 -1.347601068
##  [44,]  0.6996024208  0.1386716838 -1.552192680  0.775046538 -0.562216191
##  [45,] -0.0257465232 -0.0532927218 -0.631829695  0.238653123 -0.228045333
##  [46,] -1.2094088125 -0.0421318917 -1.099271598 -0.766400435  1.270325525
##  [47,] -0.7719913054 -0.3918782250 -0.860040408  0.400716265 -0.699115286
##  [48,] -0.1415355327  0.1494277456  0.312059750  0.051668201 -0.617662984
##  [49,]  1.0351374441  0.0842553025 -1.032585112  0.042572684  0.715761384
##  [50,]  1.1461639339  0.2696271483  0.202237419 -0.748034704  0.718899176
##  [51,]  0.5914574471 -0.1805550956 -0.130799356  1.232288730  0.119425079
##  [52,]  0.8050018606 -0.8285746824  0.958237627  0.021691457  0.675840847
##  [53,] -0.4823485703 -0.5196757316  0.091033423  0.185206160  0.566789363
##  [54,] -0.3111851965 -0.2682652932 -0.191064621  0.242432434  0.032055615
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## [435,] -0.6033236989  0.2281301569  0.274245957  0.613029037  1.347823313
## [436,] -0.4312057848 -1.4447702171  0.563153991  0.071382156  0.274834667
## [437,]  0.1971828073  0.0845717125 -1.399950341  0.517522700 -0.357593938
## [438,]  0.7524780257 -0.2968462314 -0.376179777 -0.394388460  1.049547605
## [439,] -0.5578354299 -0.0863127031 -0.476019507  0.691500096 -0.005097571
## [440,]  0.5814940317 -0.2087225893 -0.205764584 -0.197753454  0.025511760
## [441,]  1.3318917989  0.7874247170 -0.086934122  0.590939201 -0.954376863
## [442,] -0.5118563952 -1.2802255120 -0.704358490  0.293077909 -0.046810718
## [443,] -1.0980360656 -0.0271833616  0.289192388  0.063632591  0.552895021
## [444,] -0.0118578338  0.2167056829 -0.139841258 -0.079158883 -0.248988204
## [445,] -0.2594076997 -0.2340528473  0.394238322 -0.227507990 -0.861768888
## [446,]  0.0767863491  0.1333700678 -0.365010497  0.376970483  0.081686242
## [447,]  0.1496484054  0.1009842048  0.211803334 -0.326711371 -0.554114585
## [448,]  1.0246215066 -1.6390392053 -0.123394783  0.350233287 -0.682328862
## [449,]  0.2850164228 -1.0114445247  0.907943315  0.813616900  0.268210813
## [450,] -0.7122660898 -0.0128152788  0.196001229 -0.278968535  1.636069395
## [451,] -1.7454833061  0.7665395496  0.627907437 -0.675613832 -0.178201008
## [452,]  0.7747315003 -0.1202237902  0.722320483 -0.839643290  0.793894091
## [453,]  0.7524453398 -0.6895073216 -0.061345072 -0.445652095  0.356167184
## [454,] -0.3933010794 -0.3671611754 -0.780869409  0.987494583  0.203303393
## [455,]  0.0026198669 -0.8802674756 -0.785372543  1.424978381 -0.917184469
## [456,]  0.2574665235  1.1471140780  1.035702376 -1.539528315 -0.061546922
## [457,]  0.7052869999 -0.2661633479 -1.267466083  0.166861264  0.182632578
## [458,] -0.1289278833 -1.0539329571 -0.468353882 -0.054718268  0.610581317
## [459,] -0.6583929523  0.3565638446  0.891201043  1.340957293  1.172738485
## [460,]  0.5997449581 -0.0594637028 -0.878830998  1.524358320  0.077249043
## [461,] -1.0084826922  0.3059960745 -0.609230673  0.587991631  0.869284713
## [462,] -0.4616809390  0.2389002836 -0.995973363 -0.003072753 -1.381382722
## [463,] -0.8544543347 -1.2583469508  0.288232093  0.041521724 -0.610199844
## [464,] -0.0760541781 -0.9696472637  0.484579000  0.711429510 -0.347712868
## [465,] -0.0744563006 -0.3837242061 -0.629850960 -0.342404520  0.254829375
## [466,]  2.3877284251 -0.6445370373 -1.303752450 -0.468697114  0.592509936
## [467,] -0.4636329504 -0.7496778447  0.273959069 -0.241640528  0.949594352
## [468,] -0.0251216905 -0.6339815132 -0.262190402 -0.686569035  0.820004778
## [469,] -0.1704886134  1.8220164140  0.714124389  0.599641277  0.424073209
## [470,] -0.5121931214  0.6249539278  1.128841180 -0.372709147  0.464727608
## [471,] -0.5056180745 -0.4954712958 -1.152241099  0.475291344  0.491430314
## [472,]  0.2742365878 -0.1320067191 -0.913133130 -0.209019993  0.268050439
## [473,] -0.9646160585  0.6858109107 -0.879638380 -0.369950135  0.378353546
## [474,] -0.5952726045  0.9788733623 -0.048970287  0.104514966 -0.284067674
## [475,]  0.9635907772  1.2396342616 -1.515897563  0.306307515  0.566332634
## [476,] -1.0836690160  0.4484217807 -0.284191483  1.305403304 -0.910291760
## [477,] -1.2474742002 -0.8089627770 -0.759635489  0.205133359  0.340042685
## [478,]  0.1270371266 -1.4695069438 -0.171155629  0.021919871 -0.140628941
## [479,]  0.1530892910 -0.9015834717  0.580326359 -0.592355393 -0.227212800
## [480,] -0.1781778153 -0.2544763526  1.521623047 -1.192226967  0.331435149
## [481,] -1.6965259534 -0.1566650120  0.265957366  0.459491998  0.112317012
## [482,]  1.2715768281  1.7795248836 -0.077938273  0.099692926  0.844098233
## [483,]  0.4317369145 -0.2296982819 -0.118146241 -0.266244503  0.512565465
## [484,]  0.3638963142 -0.0005303922 -0.117540676 -0.454244107 -0.079427617
## [485,]  0.4747970273  0.4560764543 -0.165245093 -0.784073520  0.507677120
## [486,] -0.4665881355 -1.4842361392 -0.495078547  1.338317560 -0.517087594
## [487,]  0.5381076467  0.2561772157  0.458505597 -0.974226335  0.333396684
## [488,] -0.2179486181 -0.4411455092  0.204170284  0.355760929  0.508136428
## [489,]  0.2161722957  1.9287359750 -0.136144209  0.125484014 -0.642096358
## [490,]  0.3035417256 -1.1237087667  0.067009928 -0.613998521 -0.277005999
## [491,]  0.3810242318 -0.1666734610  1.296842497  0.069755433  0.899001459
## [492,]  0.9078925399 -0.2282314589 -0.606941580  0.690541851  0.158422637
## [493,] -0.4893926815 -0.4952354525 -1.187569008  0.629952148  0.851133117
## [494,]  0.2327953660 -0.0852221244  0.849059657  0.513800161  0.014909814
## [495,] -1.4649412529  0.5529571694 -0.445646364 -0.065352555 -0.396007604
## [496,] -0.0745516169  1.1884399671  1.009547836  0.010708070 -0.186283129
## [497,] -0.8880318353 -0.8524930333  0.168430308  0.262811058  0.590072028
## [498,]  1.2293121693  1.3237879309  0.805266934  0.853220026  0.093281795
## [499,] -0.9047601387 -1.3682466199  0.233433553 -0.240674932 -0.164573289
plot(Diabetes_pca)

#get the original value of the data based on PCA
center <- Diabetes_pca$center
scale <- Diabetes_pca$scale
new_sparrow <- as.matrix(Diabetes[,-1])
new_sparrow
##        HighBP BMI Smoker Stroke HeartDiseaseorAttack PhysActivity
##   [1,]      1  26      0      0                    0            1
##   [2,]      1  26      1      1                    0            0
##   [3,]      0  26      0      0                    0            1
##   [4,]      1  28      1      0                    0            1
##   [5,]      0  29      1      0                    0            1
##   [6,]      0  18      0      0                    0            1
##   [7,]      0  26      1      0                    0            1
##   [8,]      0  31      1      0                    0            0
##   [9,]      0  32      0      0                    0            1
##  [10,]      0  27      1      0                    0            0
##  [11,]      1  24      1      0                    1            1
##  [12,]      0  21      0      0                    0            1
##  [13,]      1  27      0      0                    0            1
##  [14,]      1  58      0      0                    0            0
##  [15,]      0  29      1      0                    0            1
##  [16,]      0  18      1      0                    0            1
##  [17,]      0  30      0      0                    0            1
##  [18,]      0  30      1      0                    0            1
##  [19,]      0  20      0      0                    0            1
##  [20,]      1  26      0      0                    0            0
##  [21,]      0  22      0      0                    0            1
##  [22,]      1  29      1      0                    0            1
##  [23,]      0  22      0      0                    0            1
##  [24,]      0  30      0      0                    0            1
##  [25,]      0  27      0      0                    0            1
##  [26,]      0  28      0      0                    0            1
##  [27,]      1  20      1      0                    0            0
##  [28,]      1  32      0      0                    0            0
##  [29,]      0  38      0      0                    0            1
##  [30,]      0  40      1      0                    0            1
##  [31,]      1  24      1      0                    0            1
##  [32,]      0  24      1      0                    0            1
##  [33,]      0  20      0      0                    0            1
##  [34,]      0  20      0      0                    0            0
##  [35,]      1  29      1      0                    1            1
##  [36,]      0  24      0      0                    0            1
##  [37,]      0  25      0      0                    0            0
##  [38,]      0  36      1      0                    0            1
##  [39,]      0  31      1      0                    0            1
##  [40,]      0  27      1      0                    0            1
##  [41,]      0  26      0      0                    0            1
##  [42,]      0  27      0      0                    0            1
##  [43,]      1  47      1      0                    0            0
##  [44,]      1  38      1      0                    0            1
##  [45,]      1  28      0      0                    0            1
##  [46,]      0  20      1      0                    0            0
##  [47,]      0  19      1      0                    0            1
##  [48,]      0  25      0      0                    0            1
##  [49,]      0  26      0      0                    0            1
##  [50,]      1  22      0      0                    0            1
##  [51,]      1  31      0      0                    0            1
##  [52,]      0  30      1      0                    0            1
##  [53,]      1  37      1      0                    1            1
##  [54,]      0  31      0      0                    0            1
##  [55,]      0  22      0      0                    0            1
##  [56,]      0  26      0      0                    0            0
##  [57,]      0  41      0      0                    0            0
##  [58,]      1  22      1      0                    0            1
##  [59,]      0  23      1      0                    0            1
##  [60,]      1  34      1      0                    0            0
##  [61,]      0  27      1      0                    0            1
##  [62,]      1  38      0      0                    0            0
##  [63,]      1  19      1      0                    1            1
##  [64,]      0  29      0      0                    0            1
##  [65,]      0  27      0      0                    0            1
##  [66,]      0  24      1      1                    0            1
##  [67,]      1  36      1      0                    0            1
##  [68,]      1  35      1      0                    1            1
##  [69,]      1  32      0      0                    0            1
##  [70,]      0  42      0      0                    0            1
##  [71,]      0  24      0      0                    0            1
##  [72,]      0  25      1      0                    0            0
##  [73,]      1  21      1      0                    0            0
##  [74,]      0  23      0      0                    0            1
##  [75,]      0  26      0      0                    0            1
##  [76,]      1  31      1      0                    0            1
##  [77,]      0  20      1      0                    0            1
##  [78,]      0  37      0      0                    0            1
##  [79,]      0  23      1      0                    0            1
##  [80,]      1  34      1      0                    0            1
##  [81,]      0  17      0      0                    0            1
##  [82,]      0  37      1      0                    0            0
##  [83,]      1  36      0      0                    0            1
##  [84,]      0  21      0      0                    0            1
##  [85,]      1  40      1      0                    0            1
##  [86,]      0  22      0      0                    0            1
##  [87,]      0  33      0      0                    0            1
##  [88,]      1  26      1      1                    1            0
##  [89,]      1  30      0      0                    0            0
##  [90,]      0  32      1      0                    0            0
##  [91,]      1  32      1      0                    0            1
##  [92,]      0  23      0      0                    0            1
##  [93,]      1  36      1      0                    1            0
##  [94,]      0  30      0      0                    0            1
##  [95,]      1  24      1      0                    1            0
##  [96,]      0  22      0      0                    0            1
##  [97,]      0  21      0      0                    0            1
##  [98,]      0  35      0      0                    0            1
##  [99,]      0  31      0      0                    0            1
## [100,]      0  47      0      0                    0            1
## [101,]      1  25      0      0                    0            0
## [102,]      0  31      0      0                    1            0
## [103,]      0  28      0      0                    0            1
## [104,]      1  28      1      0                    1            0
## [105,]      0  38      0      0                    0            1
## [106,]      1  27      0      0                    0            0
## [107,]      0  20      1      0                    0            1
## [108,]      0  31      1      0                    0            1
## [109,]      1  28      1      0                    0            0
## [110,]      0  44      1      0                    0            0
## [111,]      0  27      1      0                    0            1
## [112,]      0  26      1      0                    0            0
## [113,]      1  40      1      0                    0            1
## [114,]      1  27      1      0                    0            1
## [115,]      0  22      0      0                    0            1
## [116,]      0  21      0      0                    0            1
## [117,]      0  20      1      0                    0            1
## [118,]      1  27      1      0                    0            0
## [119,]      0  28      0      0                    0            0
## [120,]      0  31      1      0                    0            0
## [121,]      0  22      1      0                    0            1
## [122,]      0  36      0      0                    0            1
## [123,]      0  24      0      0                    0            1
## [124,]      0  28      0      0                    0            1
## [125,]      0  26      0      0                    0            1
## [126,]      0  30      1      0                    0            1
## [127,]      1  29      0      0                    1            1
## [128,]      1  24      0      0                    0            0
## [129,]      0  23      0      0                    0            1
## [130,]      0  27      1      0                    0            1
## [131,]      1  27      1      0                    0            1
## [132,]      0  30      0      0                    0            1
## [133,]      1  23      1      0                    0            1
## [134,]      1  36      1      0                    0            1
## [135,]      0  21      0      0                    0            1
## [136,]      1  29      1      1                    0            1
## [137,]      0  25      1      0                    0            1
## [138,]      0  29      1      0                    0            1
## [139,]      0  24      1      0                    0            1
## [140,]      1  27      1      0                    0            1
## [141,]      0  20      0      0                    1            1
## [142,]      1  37      1      0                    0            1
## [143,]      1  24      1      0                    0            1
## [144,]      0  25      1      0                    0            0
## [145,]      0  22      0      0                    0            1
## [146,]      0  23      0      0                    0            1
## [147,]      1  27      0      0                    0            1
## [148,]      1  26      1      0                    0            1
## [149,]      1  31      1      0                    1            1
## [150,]      0  22      0      0                    0            1
## [151,]      1  23      1      0                    1            1
## [152,]      0  25      1      0                    1            1
## [153,]      1  22      0      0                    0            1
## [154,]      0  29      0      0                    0            1
## [155,]      1  28      1      0                    0            1
## [156,]      0  31      0      0                    0            1
## [157,]      1  26      1      0                    0            0
## [158,]      1  28      1      0                    0            1
## [159,]      0  27      0      0                    0            1
## [160,]      0  28      1      0                    0            1
## [161,]      0  26      0      0                    0            1
## [162,]      1  24      0      0                    0            1
## [163,]      0  24      0      0                    0            1
## [164,]      1  29      0      0                    0            0
## [165,]      0  31      0      0                    0            1
## [166,]      0  35      0      0                    0            1
## [167,]      0  24      0      0                    0            1
## [168,]      0  26      0      0                    0            0
## [169,]      0  26      0      0                    1            0
## [170,]      0  27      0      0                    0            1
## [171,]      1  27      1      0                    0            1
## [172,]      1  32      0      0                    0            0
## [173,]      1  31      0      0                    0            1
## [174,]      0  24      0      0                    0            1
## [175,]      1  34      1      0                    0            1
## [176,]      0  31      0      0                    0            1
## [177,]      0  36      1      0                    0            1
## [178,]      1  47      0      0                    0            1
## [179,]      1  27      0      0                    0            1
## [180,]      0  31      0      0                    0            1
## [181,]      0  15      1      1                    1            0
## [182,]      0  23      1      0                    0            1
## [183,]      1  32      1      0                    0            1
## [184,]      1  29      1      0                    0            1
## [185,]      0  21      0      0                    0            1
## [186,]      0  21      1      1                    0            1
## [187,]      0  30      0      0                    0            1
## [188,]      0  30      0      0                    0            1
## [189,]      0  25      0      0                    0            1
## [190,]      0  19      1      0                    0            1
## [191,]      0  33      1      0                    0            1
## [192,]      1  28      0      1                    1            0
## [193,]      1  52      1      0                    0            1
## [194,]      1  31      1      0                    0            1
## [195,]      0  25      0      0                    0            1
## [196,]      1  25      1      0                    1            1
## [197,]      1  25      1      0                    1            1
## [198,]      0  31      1      0                    0            1
## [199,]      1  29      1      0                    0            1
## [200,]      0  69      0      0                    0            0
## [201,]      0  30      1      0                    1            1
## [202,]      0  29      0      0                    0            0
## [203,]      1  22      1      0                    0            1
## [204,]      0  22      1      0                    0            0
## [205,]      1  30      0      0                    0            1
## [206,]      0  21      1      0                    0            1
## [207,]      0  34      0      0                    0            1
## [208,]      0  25      0      0                    0            1
## [209,]      1  27      0      0                    0            1
## [210,]      1  27      0      0                    0            1
## [211,]      0  23      1      0                    0            1
## [212,]      1  36      0      0                    0            1
## [213,]      1  38      1      0                    0            1
## [214,]      1  28      1      0                    1            0
## [215,]      1  26      0      1                    1            1
## [216,]      1  22      0      0                    0            1
## [217,]      1  30      1      0                    0            1
## [218,]      0  24      0      0                    0            1
## [219,]      0  19      0      0                    0            1
## [220,]      0  28      0      0                    0            0
## [221,]      0  31      1      0                    0            1
## [222,]      1  32      0      0                    0            1
## [223,]      0  24      0      0                    0            1
## [224,]      1  25      0      0                    0            1
## [225,]      0  32      0      0                    0            1
## [226,]      0  21      0      0                    0            1
## [227,]      0  25      0      0                    1            1
## [228,]      0  22      1      0                    0            1
## [229,]      1  27      1      0                    0            1
## [230,]      0  25      0      0                    0            1
## [231,]      1  28      1      1                    1            0
## [232,]      1  27      0      0                    1            1
## [233,]      0  33      1      0                    0            1
## [234,]      0  34      0      0                    0            1
## [235,]      1  37      0      0                    0            1
## [236,]      0  25      1      0                    0            1
## [237,]      0  22      0      0                    0            1
## [238,]      0  23      1      0                    0            1
## [239,]      1  28      1      0                    0            1
## [240,]      1  36      1      0                    1            1
## [241,]      0  19      0      0                    0            1
## [242,]      1  28      0      0                    0            0
## [243,]      0  29      1      0                    0            1
## [244,]      0  23      1      0                    0            1
## [245,]      1  33      1      0                    0            1
## [246,]      0  25      1      0                    0            1
## [247,]      1  22      0      0                    0            1
## [248,]      1  28      0      0                    1            1
## [249,]      1  33      1      0                    0            1
## [250,]      1  30      1      0                    1            0
## [251,]      0  25      1      0                    0            1
## [252,]      1  28      0      0                    0            0
## [253,]      0  23      1      0                    0            1
## [254,]      1  27      0      0                    0            1
## [255,]      1  37      1      1                    1            0
## [256,]      1  28      1      0                    1            0
## [257,]      1  27      1      0                    0            0
## [258,]      1  34      1      1                    0            1
## [259,]      1  24      1      0                    0            0
## [260,]      1  31      0      0                    0            0
## [261,]      1  33      1      0                    0            0
## [262,]      1  27      1      0                    0            0
## [263,]      1  27      0      0                    0            1
## [264,]      1  21      1      0                    0            1
## [265,]      1  23      1      1                    1            0
## [266,]      1  27      0      0                    1            1
## [267,]      1  35      0      0                    0            1
## [268,]      0  32      0      0                    1            1
## [269,]      1  45      0      0                    0            0
## [270,]      1  31      1      0                    1            1
## [271,]      1  29      1      0                    0            1
## [272,]      0  29      1      1                    0            1
## [273,]      1  25      1      0                    1            0
## [274,]      0  32      0      0                    0            1
## [275,]      1  30      0      0                    0            1
## [276,]      1  32      1      0                    0            1
## [277,]      0  29      0      0                    0            0
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##        HvyAlcoholConsump AnyHealthcare GenHlth MentHlth PhysHlth Sex Age
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## [182,]                 0             1       2        3        2   0   4
## [183,]                 0             1       3        3        0   0   8
## [184,]                 0             1       3       10        4   1  11
## [185,]                 0             0       4        0        0   1   9
## [186,]                 0             1       3        0        0   1  12
## [187,]                 0             0       4        0        0   0   4
## [188,]                 1             1       4       15       30   1   5
## [189,]                 1             1       1        0        0   0   7
## [190,]                 0             1       5        2       30   1   7
## [191,]                 0             1       1        0        7   1  11
## [192,]                 0             1       3       10        2   0   9
## [193,]                 0             1       3        0        0   1   6
## [194,]                 0             1       4       30       15   0   6
## [195,]                 0             0       2        0        5   0   5
## [196,]                 0             1       3        0        1   1  10
## [197,]                 1             1       3        0       10   0  10
## [198,]                 0             1       2        0        0   0   6
## [199,]                 0             1       1        0        0   0  12
## [200,]                 0             1       5       10       30   0   8
## [201,]                 0             1       2        3        0   0   7
## [202,]                 0             1       1        0        0   1   1
## [203,]                 0             1       2        0        0   0  13
## [204,]                 0             1       3       30        0   0   8
## [205,]                 0             1       2        5        0   1   9
## [206,]                 0             1       3       20        0   0   9
## [207,]                 0             1       3        5        0   0   8
## [208,]                 0             1       1        0        0   1   9
## [209,]                 0             1       2        0        0   0  13
## [210,]                 0             1       2       30        2   0   8
## [211,]                 0             1       3       14       22   0  10
## [212,]                 0             1       3        0       23   1   9
## [213,]                 0             1       4        5       10   0   7
## [214,]                 0             1       2        0        0   1  11
## [215,]                 0             1       4        0        0   1  12
## [216,]                 1             1       2        0        0   0  10
## [217,]                 0             1       3       14        0   0   9
## [218,]                 0             1       2        0        5   1   4
## [219,]                 0             1       3        0        0   0   8
## [220,]                 0             0       2        0        0   0   7
## [221,]                 0             1       1        0        0   1   5
## [222,]                 0             1       4        0        4   0   9
## [223,]                 0             1       1        0        0   0  12
## [224,]                 0             1       2        2        0   1   8
## [225,]                 0             1       1        0        0   0   3
## [226,]                 0             1       2        0        0   0   1
## [227,]                 0             1       1        0        0   1  13
## [228,]                 0             1       2        0        0   1  12
## [229,]                 0             1       2        0        0   1  12
## [230,]                 0             1       2       28        0   0   1
## [231,]                 0             0       4       15       10   1  13
## [232,]                 0             1       1        0        0   0  13
## [233,]                 0             1       3        0        0   0   9
## [234,]                 0             1       3        0        0   0   3
## [235,]                 1             1       2        0        3   0   8
## [236,]                 0             1       2        0        0   0   6
## [237,]                 0             1       1        4        0   0   4
## [238,]                 0             1       3        0        0   0   7
## [239,]                 0             1       3       30       30   1   7
## [240,]                 0             1       3       30        0   0   7
## [241,]                 0             1       2        0        0   0   7
## [242,]                 0             1       4        2        0   1   7
## [243,]                 1             1       2        0        0   1   4
## [244,]                 0             1       1        0        0   0   5
## [245,]                 0             1       2        0        0   1   9
## [246,]                 0             1       2        5        0   1  13
## [247,]                 0             1       2        0        0   1   7
## [248,]                 0             1       2        0        1   1  10
## [249,]                 0             1       3        0        0   1  10
## [250,]                 0             1       5       30       30   0   9
## [251,]                 0             1       3        0        0   1  13
## [252,]                 0             1       4        0        0   0  11
## [253,]                 0             1       2        0        0   1   7
## [254,]                 0             1       1        0        0   0  13
## [255,]                 0             1       5        0        0   1  10
## [256,]                 0             1       4        0        0   1  12
## [257,]                 0             1       4       20       20   0   8
## [258,]                 0             1       4        0        7   0   9
## [259,]                 0             1       2        0        0   0  12
## [260,]                 0             1       3        0        5   0  13
## [261,]                 0             1       3        0       30   0  11
## [262,]                 0             1       5        0       30   0  10
## [263,]                 0             1       3        0        0   0  11
## [264,]                 0             1       3        0        0   0  10
## [265,]                 0             1       1        2        0   0   7
## [266,]                 0             1       2        4        2   1   7
## [267,]                 0             1       2        0        0   1   8
## [268,]                 0             1       1        0        0   0  13
## [269,]                 0             1       4        2       30   0   9
## [270,]                 0             1       3        0        0   1  13
## [271,]                 1             1       3        0        0   1  11
## [272,]                 0             1       4       30       10   0  11
## [273,]                 0             1       5       15       30   0   9
## [274,]                 0             0       4        0        3   0   3
## [275,]                 0             1       2        0        0   1   9
## [276,]                 0             1       3        0        0   1   7
## [277,]                 0             1       4        0       10   0   7
## [278,]                 0             1       3        0        0   1  12
## [279,]                 0             1       2        0        0   0   8
## [280,]                 1             1       3        0        0   1   8
## [281,]                 0             0       4        2        3   0   8
## [282,]                 0             1       2        0        0   0  12
## [283,]                 0             1       5        3       30   0   8
## [284,]                 0             1       3        0        0   0  11
## [285,]                 0             1       3       14       14   0   9
## [286,]                 0             1       3        0        2   1  10
## [287,]                 0             1       4        2        2   0   8
## [288,]                 0             1       3        0        5   0  10
## [289,]                 0             1       2        0        0   1  10
## [290,]                 0             1       4        0       30   0  12
## [291,]                 0             1       4        0       15   1  10
## [292,]                 0             1       3        0        0   0  13
## [293,]                 0             1       4        0        2   0  11
## [294,]                 0             1       4       15       15   0  12
## [295,]                 0             1       4        0       15   0  11
## [296,]                 0             1       3        4        2   0   9
## [297,]                 0             1       4        0        0   0  12
## [298,]                 0             1       3        0        0   0  10
## [299,]                 0             1       5       15       30   1   8
## [300,]                 0             1       2        0        0   1  12
## [301,]                 0             1       3        0       28   1   8
## [302,]                 0             1       1        0        0   1   6
## [303,]                 0             1       4        0        0   0  10
## [304,]                 0             1       2        0        0   0  13
## [305,]                 0             1       2        0       14   0  13
## [306,]                 0             1       4        0        0   1  11
## [307,]                 0             1       3        0        0   1  10
## [308,]                 0             1       4        0        0   1  10
## [309,]                 0             1       3        0        0   0  11
## [310,]                 0             1       4       10       15   0  10
## [311,]                 0             1       4       14        2   0  10
## [312,]                 0             1       2        0        0   1   9
## [313,]                 0             1       2        0        0   0  11
## [314,]                 0             1       4        3        0   0  11
## [315,]                 0             1       4        0        5   0  12
## [316,]                 0             1       3        0        0   0   8
## [317,]                 0             1       5       10       15   0   6
## [318,]                 0             1       4        0       14   0   9
## [319,]                 0             1       3        7        0   0  13
## [320,]                 0             1       3        0        0   1  13
## [321,]                 0             1       3        0        2   0  13
## [322,]                 0             1       4       10       15   0   8
## [323,]                 0             1       5        0       27   0   7
## [324,]                 0             1       5       15       30   1   8
## [325,]                 0             1       4        3        6   1  12
## [326,]                 0             1       3        0        0   0  10
## [327,]                 0             1       3        0        0   0   9
## [328,]                 0             1       1        0        0   1  10
## [329,]                 0             1       4        0        0   1   6
## [330,]                 0             1       4        0        5   1   8
## [331,]                 0             1       5       20       20   1  11
## [332,]                 0             1       4        5       15   0  11
## [333,]                 0             1       3        0        0   0  13
## [334,]                 0             1       4       16        8   0   4
## [335,]                 0             1       4        0       10   1  10
## [336,]                 0             1       4        0        2   0   8
## [337,]                 0             1       3        0       10   0   9
## [338,]                 0             1       3        0        0   0  13
## [339,]                 0             1       3        0        7   0  10
## [340,]                 0             1       4        3       30   1  10
## [341,]                 0             1       4        0        0   0   8
## [342,]                 0             1       3        0        0   0  10
## [343,]                 0             1       5        0       30   0   9
## [344,]                 0             1       4        0        0   0   9
## [345,]                 0             0       4        2        0   0   9
## [346,]                 0             1       2        2        2   1  10
## [347,]                 0             1       4        4        0   0  11
## [348,]                 0             0       3       10       15   0  10
## [349,]                 0             1       5       25       30   1  10
## [350,]                 1             1       4        2        6   1   9
## [351,]                 0             1       4        0       14   1   8
## [352,]                 0             1       5        3        5   0  10
## [353,]                 0             1       3       20        1   0  10
## [354,]                 0             1       2        0        7   1  10
## [355,]                 0             0       3        5        0   0   9
## [356,]                 1             1       2        0        0   0  10
## [357,]                 0             1       4        3       30   0   8
## [358,]                 0             1       3        0        3   1  10
## [359,]                 0             1       3        5       30   1  11
## [360,]                 0             1       4        0        0   0   9
## [361,]                 0             1       3        0        0   0  10
## [362,]                 0             1       5        7       30   0   8
## [363,]                 0             1       2        0        0   0  10
## [364,]                 0             1       4        0        0   1  12
## [365,]                 0             1       2        0        0   0  10
## [366,]                 0             1       3        0       10   1  12
## [367,]                 0             1       4        0       15   0   8
## [368,]                 0             1       3        0        3   0   9
## [369,]                 0             1       4        0        0   1  12
## [370,]                 0             1       2        0        0   1  10
## [371,]                 0             1       3        0        0   0  11
## [372,]                 0             1       2        0        0   0  12
## [373,]                 0             1       2        0        0   1  11
## [374,]                 0             1       2        0        0   0  12
## [375,]                 0             1       4       15       10   1   9
## [376,]                 0             1       3        0        0   1  11
## [377,]                 0             1       3       30        0   1  10
## [378,]                 0             0       2        0        0   0   9
## [379,]                 0             0       2        2        0   0   9
## [380,]                 0             1       3        0        7   1  13
## [381,]                 0             1       4       30        0   1   9
## [382,]                 0             1       3       30       10   0  11
## [383,]                 0             1       5       30       20   0   9
## [384,]                 0             1       5       10       15   0   7
## [385,]                 0             1       4        0       30   0  10
## [386,]                 0             1       4       15       12   0  10
## [387,]                 0             1       3        0        0   0   9
## [388,]                 0             1       3        0        0   1  10
## [389,]                 0             1       3        0        0   1  13
## [390,]                 0             1       3       30        3   0   9
## [391,]                 0             1       3        0        0   0  10
## [392,]                 0             1       3        0        0   0   8
## [393,]                 0             1       5        0       30   1  13
## [394,]                 0             1       3        0        1   0  11
## [395,]                 0             1       1        3        0   0  12
## [396,]                 0             1       2        0        0   1  11
## [397,]                 0             1       3        0        2   0   9
## [398,]                 0             1       5       30       30   0  12
## [399,]                 0             1       3       10        0   0  13
## [400,]                 0             1       5       30       30   1  11
## [401,]                 0             1       3        0        0   0  11
## [402,]                 0             1       3        0        0   0   8
## [403,]                 0             1       2        0        5   0  10
## [404,]                 0             1       4        0        3   0  11
## [405,]                 0             1       3        1        0   1   9
## [406,]                 0             1       4        0        0   0   9
## [407,]                 0             1       3        0        0   0  11
## [408,]                 1             1       3        0       30   1  10
## [409,]                 0             1       4        0        4   0  12
## [410,]                 0             1       3        0        5   1  10
## [411,]                 0             1       3        0        2   0  12
## [412,]                 0             0       3        0        0   0   5
## [413,]                 0             1       4        0        4   0  10
## [414,]                 0             1       5       10       30   0  12
## [415,]                 0             1       3       15        0   1  10
## [416,]                 0             1       3       30       10   1   9
## [417,]                 0             1       3        0        0   0   8
## [418,]                 0             1       5       10        4   0   7
## [419,]                 0             1       3        0        0   1  12
## [420,]                 0             1       3        0        0   0  11
## [421,]                 0             0       4       30        0   0   9
## [422,]                 0             1       3       15        0   0   7
## [423,]                 0             1       2        0       15   0  12
## [424,]                 0             1       4        4       30   1  11
## [425,]                 0             1       2        1        0   0  11
## [426,]                 0             1       3        0       10   1  10
## [427,]                 0             1       2        0        0   1  12
## [428,]                 0             1       3        0        2   1  10
## [429,]                 0             1       2        0        7   0   6
## [430,]                 0             1       3        0        0   1  10
## [431,]                 0             1       2        0        0   1  10
## [432,]                 0             1       3        0        0   1  10
## [433,]                 0             1       4       10       10   0  12
## [434,]                 0             1       5        0       30   1  13
## [435,]                 0             1       5        2        2   0  11
## [436,]                 0             1       5        0       30   0   9
## [437,]                 0             1       2        0        0   0   7
## [438,]                 0             1       4        0        0   1   9
## [439,]                 0             1       5       30       30   0   7
## [440,]                 0             1       3        0        4   0  10
## [441,]                 0             1       1        0        0   1  11
## [442,]                 0             1       5        0       30   1  11
## [443,]                 0             1       4        0        2   0  11
## [444,]                 0             1       3        0        4   1  11
## [445,]                 0             1       3        1       14   0  12
## [446,]                 0             1       3        6        0   0  10
## [447,]                 0             1       3        0        5   0  11
## [448,]                 0             1       4        0       30   0  11
## [449,]                 0             1       3        0        5   0  11
## [450,]                 0             1       5        0        0   0  10
## [451,]                 0             1       3       14       10   0   7
## [452,]                 0             1       3        0        0   1   6
## [453,]                 0             1       4        0       10   0  10
## [454,]                 0             1       3        3        0   0   8
## [455,]                 0             1       4        0       21   0  11
## [456,]                 0             1       2       15        0   1  13
## [457,]                 0             1       5        0       15   0  10
## [458,]                 0             1       4        0        7   0  10
## [459,]                 0             1       4        0        0   1  10
## [460,]                 0             1       5       20       20   0   7
## [461,]                 0             1       4        0        0   1  11
## [462,]                 0             1       1        5        0   0   4
## [463,]                 0             1       4        0       30   1  13
## [464,]                 0             1       5        3       30   0  10
## [465,]                 0             1       3        0        0   0  10
## [466,]                 0             1       5        0       10   0   7
## [467,]                 0             1       4        3        2   0  11
## [468,]                 0             1       4        0        0   0   9
## [469,]                 0             1       4       15        0   0  11
## [470,]                 0             1       3        0        0   0  12
## [471,]                 0             1       3        0        0   1   8
## [472,]                 0             1       3        0        0   0   7
## [473,]                 0             1       3        0        0   1   8
## [474,]                 0             1       3        7        5   0   9
## [475,]                 0             1       4        0        0   1   6
## [476,]                 0             1       2        0        2   0  10
## [477,]                 0             1       3        0        0   0  10
## [478,]                 0             1       4        0       16   0   8
## [479,]                 0             0       5       30       30   0   7
## [480,]                 0             1       2        0        0   0  13
## [481,]                 0             1       4        5       10   0  13
## [482,]                 0             1       5       15        0   0  10
## [483,]                 0             1       3        0        0   1  10
## [484,]                 0             1       2        0        0   1  11
## [485,]                 0             1       4        0       10   1  11
## [486,]                 0             1       5        0       30   0   8
## [487,]                 0             1       4        0       14   1  13
## [488,]                 0             1       5        0       15   0  10
## [489,]                 1             1       2        0        5   1  10
## [490,]                 0             1       5        0       30   1   8
## [491,]                 0             1       4       10        0   0   8
## [492,]                 0             1       4        5       10   0   8
## [493,]                 0             1       5        0        6   0  11
## [494,]                 0             1       2        0        0   0  11
## [495,]                 0             1       2        0        0   1  10
## [496,]                 0             1       3        7        2   1  11
## [497,]                 0             1       3        2        0   0   5
## [498,]                 0             1       3       15        0   1  13
## [499,]                 0             1       5        0       30   0  12
##        Education Income
##   [1,]         6      8
##   [2,]         6      8
##   [3,]         6      8
##   [4,]         6      8
##   [5,]         5      8
##   [6,]         4      7
##   [7,]         5      6
##   [8,]         4      3
##   [9,]         6      8
##  [10,]         4      4
##  [11,]         4      6
##  [12,]         6      8
##  [13,]         6      8
##  [14,]         4      6
##  [15,]         5      1
##  [16,]         4      6
##  [17,]         5      7
##  [18,]         6      7
##  [19,]         6      8
##  [20,]         5      5
##  [21,]         6      8
##  [22,]         5      8
##  [23,]         6      8
##  [24,]         4      6
##  [25,]         4      3
##  [26,]         5      8
##  [27,]         6      7
##  [28,]         4      6
##  [29,]         5      7
##  [30,]         5      8
##  [31,]         5      1
##  [32,]         5      3
##  [33,]         4      7
##  [34,]         5      2
##  [35,]         5      6
##  [36,]         4      6
##  [37,]         6      8
##  [38,]         6      6
##  [39,]         5      8
##  [40,]         5      8
##  [41,]         5      8
##  [42,]         6      8
##  [43,]         6      2
##  [44,]         4      8
##  [45,]         6      8
##  [46,]         5      4
##  [47,]         5      8
##  [48,]         5      6
##  [49,]         5      8
##  [50,]         6      6
##  [51,]         4      7
##  [52,]         5      6
##  [53,]         5      6
##  [54,]         6      8
##  [55,]         6      7
##  [56,]         6      7
##  [57,]         6      8
##  [58,]         4      8
##  [59,]         6      8
##  [60,]         4      5
##  [61,]         6      8
##  [62,]         3      4
##  [63,]         6      5
##  [64,]         6      7
##  [65,]         6      8
##  [66,]         3      3
##  [67,]         5      8
##  [68,]         6      8
##  [69,]         5      6
##  [70,]         6      7
##  [71,]         6      8
##  [72,]         6      8
##  [73,]         4      1
##  [74,]         5      6
##  [75,]         4      3
##  [76,]         5      2
##  [77,]         5      6
##  [78,]         5      7
##  [79,]         5      4
##  [80,]         5      4
##  [81,]         6      8
##  [82,]         5      8
##  [83,]         5      1
##  [84,]         4      7
##  [85,]         6      8
##  [86,]         6      8
##  [87,]         6      8
##  [88,]         4      3
##  [89,]         5      6
##  [90,]         6      5
##  [91,]         4      5
##  [92,]         5      8
##  [93,]         5      4
##  [94,]         6      7
##  [95,]         6      1
##  [96,]         6      4
##  [97,]         4      6
##  [98,]         6      8
##  [99,]         5      6
## [100,]         4      4
## [101,]         5      7
## [102,]         6      6
## [103,]         6      7
## [104,]         3      1
## [105,]         4      8
## [106,]         4      5
## [107,]         4      7
## [108,]         6      8
## [109,]         6      8
## [110,]         4      6
## [111,]         5      8
## [112,]         4      5
## [113,]         5      5
## [114,]         6      5
## [115,]         5      6
## [116,]         6      7
## [117,]         4      8
## [118,]         4      6
## [119,]         6      8
## [120,]         4      8
## [121,]         4      4
## [122,]         5      8
## [123,]         5      6
## [124,]         5      8
## [125,]         6      7
## [126,]         6      8
## [127,]         4      3
## [128,]         6      8
## [129,]         6      8
## [130,]         6      7
## [131,]         3      1
## [132,]         6      8
## [133,]         6      8
## [134,]         4      5
## [135,]         6      8
## [136,]         6      7
## [137,]         5      7
## [138,]         3      6
## [139,]         5      8
## [140,]         6      8
## [141,]         3      4
## [142,]         5      7
## [143,]         4      4
## [144,]         4      4
## [145,]         5      8
## [146,]         6      7
## [147,]         6      8
## [148,]         5      5
## [149,]         4      5
## [150,]         6      7
## [151,]         6      7
## [152,]         4      8
## [153,]         6      7
## [154,]         6      8
## [155,]         5      5
## [156,]         6      7
## [157,]         5      5
## [158,]         5      8
## [159,]         6      1
## [160,]         4      7
## [161,]         6      8
## [162,]         6      8
## [163,]         6      8
## [164,]         4      4
## [165,]         4      7
## [166,]         6      8
## [167,]         6      8
## [168,]         5      1
## [169,]         2      4
## [170,]         6      8
## [171,]         4      5
## [172,]         5      8
## [173,]         6      8
## [174,]         6      8
## [175,]         5      6
## [176,]         5      7
## [177,]         5      8
## [178,]         5      8
## [179,]         4      8
## [180,]         5      6
## [181,]         4      4
## [182,]         5      6
## [183,]         6      7
## [184,]         6      8
## [185,]         4      2
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## [187,]         4      5
## [188,]         6      8
## [189,]         5      8
## [190,]         5      4
## [191,]         6      8
## [192,]         5      2
## [193,]         6      6
## [194,]         4      2
## [195,]         6      7
## [196,]         6      8
## [197,]         4      5
## [198,]         4      6
## [199,]         5      7
## [200,]         5      2
## [201,]         6      8
## [202,]         5      2
## [203,]         3      3
## [204,]         5      4
## [205,]         6      7
## [206,]         6      8
## [207,]         6      8
## [208,]         6      6
## [209,]         5      2
## [210,]         6      8
## [211,]         6      1
## [212,]         5      8
## [213,]         5      6
## [214,]         6      1
## [215,]         6      6
## [216,]         6      8
## [217,]         5      8
## [218,]         6      8
## [219,]         6      6
## [220,]         4      7
## [221,]         5      7
## [222,]         3      3
## [223,]         5      4
## [224,]         6      8
## [225,]         4      6
## [226,]         5      6
## [227,]         4      5
## [228,]         4      4
## [229,]         4      7
## [230,]         5      4
## [231,]         4      7
## [232,]         4      3
## [233,]         5      3
## [234,]         3      6
## [235,]         6      8
## [236,]         6      8
## [237,]         4      7
## [238,]         6      8
## [239,]         5      8
## [240,]         5      8
## [241,]         6      8
## [242,]         4      5
## [243,]         5      8
## [244,]         6      8
## [245,]         6      8
## [246,]         6      7
## [247,]         4      6
## [248,]         6      8
## [249,]         6      8
## [250,]         5      1
## [251,]         6      8
## [252,]         4      6
## [253,]         5      6
## [254,]         5      4
## [255,]         6      5
## [256,]         2      4
## [257,]         4      7
## [258,]         5      4
## [259,]         3      3
## [260,]         4      4
## [261,]         4      2
## [262,]         4      5
## [263,]         4      4
## [264,]         3      2
## [265,]         5      3
## [266,]         6      8
## [267,]         5      8
## [268,]         2      2
## [269,]         6      8
## [270,]         5      6
## [271,]         5      7
## [272,]         5      2
## [273,]         2      3
## [274,]         5      3
## [275,]         6      7
## [276,]         4      5
## [277,]         6      7
## [278,]         4      6
## [279,]         6      5
## [280,]         5      8
## [281,]         4      7
## [282,]         5      4
## [283,]         5      6
## [284,]         6      5
## [285,]         6      5
## [286,]         3      5
## [287,]         4      8
## [288,]         5      6
## [289,]         5      6
## [290,]         5      3
## [291,]         5      8
## [292,]         6      7
## [293,]         6      5
## [294,]         4      4
## [295,]         5      2
## [296,]         5      6
## [297,]         4      1
## [298,]         5      4
## [299,]         5      6
## [300,]         6      7
## [301,]         4      8
## [302,]         5      7
## [303,]         6      7
## [304,]         5      6
## [305,]         4      5
## [306,]         3      8
## [307,]         6      8
## [308,]         5      8
## [309,]         5      5
## [310,]         6      5
## [311,]         4      6
## [312,]         5      8
## [313,]         6      7
## [314,]         4      4
## [315,]         3      1
## [316,]         6      8
## [317,]         3      1
## [318,]         4      4
## [319,]         4      5
## [320,]         5      4
## [321,]         6      7
## [322,]         3      3
## [323,]         4      1
## [324,]         4      2
## [325,]         2      2
## [326,]         4      3
## [327,]         4      6
## [328,]         3      2
## [329,]         5      3
## [330,]         4      6
## [331,]         4      2
## [332,]         3      1
## [333,]         5      2
## [334,]         5      2
## [335,]         4      1
## [336,]         4      4
## [337,]         6      8
## [338,]         6      1
## [339,]         2      3
## [340,]         4      4
## [341,]         5      1
## [342,]         4      3
## [343,]         5      5
## [344,]         4      2
## [345,]         6      6
## [346,]         6      4
## [347,]         4      1
## [348,]         3      1
## [349,]         4      7
## [350,]         4      5
## [351,]         4      1
## [352,]         4      1
## [353,]         5      5
## [354,]         6      7
## [355,]         5      3
## [356,]         6      8
## [357,]         4      3
## [358,]         5      8
## [359,]         5      4
## [360,]         3      5
## [361,]         5      4
## [362,]         3      3
## [363,]         6      6
## [364,]         5      7
## [365,]         4      4
## [366,]         6      2
## [367,]         5      5
## [368,]         4      2
## [369,]         6      6
## [370,]         6      8
## [371,]         4      7
## [372,]         5      3
## [373,]         4      8
## [374,]         6      5
## [375,]         4      6
## [376,]         6      8
## [377,]         4      6
## [378,]         5      8
## [379,]         4      4
## [380,]         4      7
## [381,]         5      7
## [382,]         6      8
## [383,]         1      1
## [384,]         4      1
## [385,]         3      1
## [386,]         4      3
## [387,]         4      7
## [388,]         2      2
## [389,]         4      5
## [390,]         5      4
## [391,]         4      2
## [392,]         6      8
## [393,]         3      3
## [394,]         5      6
## [395,]         4      4
## [396,]         4      3
## [397,]         6      8
## [398,]         5      6
## [399,]         5      6
## [400,]         2      3
## [401,]         5      5
## [402,]         4      3
## [403,]         4      1
## [404,]         4      6
## [405,]         6      8
## [406,]         5      3
## [407,]         4      4
## [408,]         5      6
## [409,]         2      1
## [410,]         6      8
## [411,]         5      5
## [412,]         6      1
## [413,]         6      3
## [414,]         3      2
## [415,]         6      6
## [416,]         6      3
## [417,]         5      5
## [418,]         6      3
## [419,]         4      4
## [420,]         6      6
## [421,]         3      2
## [422,]         4      3
## [423,]         5      2
## [424,]         6      8
## [425,]         6      5
## [426,]         6      8
## [427,]         6      8
## [428,]         5      6
## [429,]         6      8
## [430,]         6      6
## [431,]         6      6
## [432,]         5      5
## [433,]         4      2
## [434,]         4      5
## [435,]         6      7
## [436,]         6      7
## [437,]         5      8
## [438,]         5      5
## [439,]         5      7
## [440,]         4      3
## [441,]         4      7
## [442,]         4      6
## [443,]         5      4
## [444,]         6      7
## [445,]         6      5
## [446,]         3      3
## [447,]         6      5
## [448,]         4      5
## [449,]         6      8
## [450,]         3      1
## [451,]         4      1
## [452,]         6      5
## [453,]         4      2
## [454,]         5      8
## [455,]         3      6
## [456,]         6      3
## [457,]         3      3
## [458,]         5      5
## [459,]         4      7
## [460,]         2      5
## [461,]         4      6
## [462,]         4      4
## [463,]         5      6
## [464,]         5      6
## [465,]         4      3
## [466,]         4      3
## [467,]         6      5
## [468,]         4      1
## [469,]         3      2
## [470,]         4      2
## [471,]         5      8
## [472,]         5      5
## [473,]         6      7
## [474,]         5      5
## [475,]         3      5
## [476,]         4      7
## [477,]         4      4
## [478,]         4      3
## [479,]         4      1
## [480,]         6      3
## [481,]         3      2
## [482,]         4      3
## [483,]         6      7
## [484,]         6      7
## [485,]         6      6
## [486,]         4      7
## [487,]         6      5
## [488,]         5      5
## [489,]         4      7
## [490,]         5      4
## [491,]         5      3
## [492,]         3      4
## [493,]         5      7
## [494,]         4      5
## [495,]         5      6
## [496,]         4      3
## [497,]         6      7
## [498,]         2      3
## [499,]         4      2
drop(scale(new_sparrow,center=center, scale=scale)%*%Diabetes_pca$rotation[,1])
##   [1] -0.606240531  0.352807562 -2.178113675 -0.926465857 -1.818475684
##   [6] -2.163596044 -2.169569628  0.410018794 -2.255473061 -0.015428398
##  [11]  0.823915461 -3.359160479 -1.935232397  1.177495858 -0.889377976
##  [16] -0.912251229 -1.738441113 -2.320801387 -2.528846362  0.342525268
##  [21] -3.015466346  1.038127484 -2.940616400 -1.644467931  0.791264060
##  [26] -2.097172293 -0.474682328  0.961013814 -1.651639608 -1.632691189
##  [31]  1.704135781 -1.361771076 -1.778087810 -0.036878893 -0.123794448
##  [36] -1.195731733 -2.190642492 -1.870313226 -2.090087049 -2.171239633
##  [41] -2.129855827 -2.523281797 -0.357933376 -1.104995565 -1.591538264
##  [46]  0.434295880 -2.671945733 -2.091202644 -2.254899214 -0.878134388
##  [51] -0.021011650  0.834590864  0.524582441 -2.470454763 -2.467441524
##  [56] -1.987414713 -1.387549504 -1.390369653 -3.264509549  3.088994827
##  [61] -0.143569338  2.047436690 -0.096600756 -1.630750928 -2.845029164
##  [66]  3.242622839 -1.681017891 -0.694000679 -0.690127562 -2.228591931
##  [71] -2.661473973 -1.781969331  3.730056691 -2.439695549 -0.178500718
##  [76]  0.038640360 -1.734280525 -1.811395539 -0.588754215 -0.139242711
##  [81] -3.057085303 -0.344622830  1.640178510 -1.411764499 -1.735237498
##  [86] -2.857191161 -2.530563661  4.390366151  1.947730145 -0.816890241
##  [91]  0.254945832 -2.390543199  2.885642134 -2.664593794  2.576103208
##  [96] -1.808863748 -1.376807675 -2.353607923 -1.034724763 -1.268043388
## [101]  1.404555441  0.654684080 -3.026724937  4.161152579 -1.442872036
## [106]  1.784056713 -1.783712826 -1.948970227 -0.951160944  0.772646639
## [111] -1.709492881 -0.793878346  0.139798601 -0.779046200 -0.026950229
## [116] -3.116399073 -1.742698849  0.012364592 -1.725964768 -1.581609441
## [121]  0.147873526 -1.683501360 -1.628576805 -1.589753545 -2.854180917
## [126] -2.264444604  0.431575684 -0.742633888 -2.598843801 -1.944399388
## [131]  3.472329321 -2.249828647 -1.994339942  0.188427628 -2.803936962
## [136]  1.035595103 -1.671824636 -0.346170376 -2.557398366 -1.394396275
## [141]  2.583933566 -0.580435542 -0.849555175  0.899210334 -2.157228259
## [146] -3.086308797 -1.243519253 -0.701617729  0.317352103 -3.110998303
## [151]  0.078495165  1.357741720 -1.688823044 -2.611716246 -0.545398472
## [156] -1.454176234  0.484732685 -0.803888282 -1.751222071 -0.849667858
## [161] -2.295745564 -1.315602022 -2.967411166  2.195659364 -1.799640531
## [166] -2.267499864 -2.438326584 -0.546921486  0.102371470 -2.061535045
## [171]  0.883143650 -0.356799882 -1.755012468 -2.894482756 -0.923883713
## [176] -1.478856550 -1.805528690 -0.422256543 -1.020058776 -1.556605309
## [181]  3.297043938 -1.788449506 -0.756377615 -0.570563606 -0.257019080
## [186] -0.271171925 -0.763464412 -0.883916741 -3.017321856  0.611986059
## [191] -2.086475486  2.428000404 -0.520185212  2.207916216 -2.326459486
## [196] -0.521215600  0.607865029 -1.291605708 -1.051226094  3.049655649
## [201] -1.464700168 -1.493422839  0.508442506  0.553542092 -1.393643797
## [206] -1.269006440 -1.666597493 -2.541970336 -0.008667450 -0.733884653
## [211]  0.608717580 -0.062193723  0.572044587  0.982273549  0.882623294
## [216] -2.117010028 -0.256692316 -2.732321561 -1.846751940 -1.043470353
## [221] -2.382000805  1.144857550 -1.531959612 -1.845478412 -2.067526697
## [226] -2.418598931 -0.822216458 -0.870883801 -0.576904708 -1.163941312
## [231]  3.038055583  0.383520505 -0.444997077 -0.956829210 -1.807362784
## [236] -2.378991971 -2.274945670 -1.970890979  0.912621163  0.831456232
## [241] -2.631392943  0.627074325 -2.755005427 -2.883203322 -1.447274453
## [246] -1.679519748 -1.112149620 -1.013524437 -0.991118281  4.428265216
## [251] -1.614350416  0.880246262 -1.875303944 -0.714789462  2.334774276
## [256]  2.552811445  1.944551322  1.445789756  1.094230151  1.237333632
## [261]  2.529184930  2.569047517  0.190814865  0.790737539  1.110053840
## [266] -1.119104859 -1.357124742  0.616068372  1.310460566  0.458935894
## [271] -0.996924504  2.140230215  4.457069978 -0.666539959 -1.541869231
## [276] -0.143239703 -0.501110874 -0.107107881 -0.561078551 -1.396723892
## [281]  0.646480535 -0.439698862  1.370494088  0.695394229  0.165762902
## [286] -0.147980407  0.734673295  0.438006650 -0.829013043  2.833537970
## [291]  0.201216164  0.107365207  0.004486861  3.839594442  2.409949802
## [296] -0.129783177  2.705561285 -0.122989304  2.486750398 -1.263723371
## [301]  0.247663844 -1.615147588  0.788147811 -0.145496013  0.374167504
## [306]  0.216686851 -0.970090272  1.011360802  0.335455960  0.779038416
## [311]  1.239550895 -0.619765407 -1.085765196  1.252051299  1.576130020
## [316] -1.724178861  2.928234792  2.337052664  1.186018770  1.395664161
## [321]  0.570207924  2.681061281  3.124464720  3.293343026  2.483991926
## [326]  0.610662789  0.249460741  1.020133169  0.846768298  0.131310551
## [331]  4.323580385  3.365603536  1.081331546  1.392871180  1.558711110
## [336]  1.358820498 -1.478176356 -0.560862141  1.211323509  3.188982107
## [341]  0.830613036  1.012927695  2.020433744  2.407338547  0.475127038
## [346] -0.213785629  1.558734780  4.227030922  2.656334459  0.726024403
## [351]  3.332928179  2.627044602  0.244983452 -1.188635994  0.440089868
## [356] -2.380575687  2.481286327  0.590847610  0.859674835  1.098708285
## [361]  0.304041016  3.688052904 -1.093890375  1.162007947  0.716305849
## [366]  0.945557309  0.936810306  0.756864170  1.187075542 -0.958304164
## [371]  0.338366666  0.436905369 -1.600906161 -0.606678606  1.522220793
## [376] -0.616819649  0.769372279 -2.022349370 -0.332153197  0.343466327
## [381]  1.959969115  1.096291828  4.788824260  2.953241175  3.953080801
## [386]  1.596020067 -0.507005542  1.767976688  0.037281413  0.842170869
## [391]  0.843783436 -1.934960875  3.069766792 -0.841372906 -1.063573636
## [396]  0.049601141 -1.665456349  4.322602450  1.398007661  4.437649222
## [401] -0.352878266  1.725305338  1.092839134  0.394293776 -1.893315001
## [406]  0.244260942  0.262897634  1.370436207  2.106911367 -1.102330387
## [411]  0.436767359  0.343019654  1.915190881  2.995598088 -0.908553129
## [416]  1.048686817 -1.182920861  0.732075729  0.896131733 -0.016016455
## [421]  1.985146731  1.342184972  0.582869712  1.003746316 -0.170756689
## [426]  0.003398704 -0.806248037  0.172106286 -2.053476354 -0.353274366
## [431] -1.778921791  0.617449086  1.530034315  3.178031465  0.921401559
## [436]  0.645929806 -1.513291067  0.132122691  2.530822040  0.562399002
## [441] -1.123704946  2.899339955  1.447296233  1.327063713  2.165907466
## [446]  1.044641541  1.202873706  1.490951035 -0.108700619  1.683964972
## [451]  1.931366277 -1.473569098  1.364876540 -0.565196904  3.459769850
## [456] -0.059530828  3.684124970  0.477071264  0.867484119  2.690776727
## [461]  1.651209677 -0.418698730  2.515538347  2.432114603  0.415237535
## [466]  1.793212788  0.328231726  1.331171631  2.697729195  0.523474164
## [471] -0.214088712 -0.450705924  0.096310378  0.803328451  0.892743466
## [476]  0.356060813  1.045887851  1.635114048  3.384171406 -1.291011741
## [481]  3.533787560  2.879625120 -0.850903456 -1.318214773  0.361009385
## [486]  2.419910959  0.848012547  1.928009671 -0.563124316  2.466669285
## [491]  1.689760534  1.383002288  2.310823507 -1.017633122  0.534075967
## [496]  1.802404767 -1.519954938  1.835909217  3.899033820
predict(Diabetes_pca)[,1]
##   [1] -0.606240531  0.352807562 -2.178113675 -0.926465857 -1.818475684
##   [6] -2.163596044 -2.169569628  0.410018794 -2.255473061 -0.015428398
##  [11]  0.823915461 -3.359160479 -1.935232397  1.177495858 -0.889377976
##  [16] -0.912251229 -1.738441113 -2.320801387 -2.528846362  0.342525268
##  [21] -3.015466346  1.038127484 -2.940616400 -1.644467931  0.791264060
##  [26] -2.097172293 -0.474682328  0.961013814 -1.651639608 -1.632691189
##  [31]  1.704135781 -1.361771076 -1.778087810 -0.036878893 -0.123794448
##  [36] -1.195731733 -2.190642492 -1.870313226 -2.090087049 -2.171239633
##  [41] -2.129855827 -2.523281797 -0.357933376 -1.104995565 -1.591538264
##  [46]  0.434295880 -2.671945733 -2.091202644 -2.254899214 -0.878134388
##  [51] -0.021011650  0.834590864  0.524582441 -2.470454763 -2.467441524
##  [56] -1.987414713 -1.387549504 -1.390369653 -3.264509549  3.088994827
##  [61] -0.143569338  2.047436690 -0.096600756 -1.630750928 -2.845029164
##  [66]  3.242622839 -1.681017891 -0.694000679 -0.690127562 -2.228591931
##  [71] -2.661473973 -1.781969331  3.730056691 -2.439695549 -0.178500718
##  [76]  0.038640360 -1.734280525 -1.811395539 -0.588754215 -0.139242711
##  [81] -3.057085303 -0.344622830  1.640178510 -1.411764499 -1.735237498
##  [86] -2.857191161 -2.530563661  4.390366151  1.947730145 -0.816890241
##  [91]  0.254945832 -2.390543199  2.885642134 -2.664593794  2.576103208
##  [96] -1.808863748 -1.376807675 -2.353607923 -1.034724763 -1.268043388
## [101]  1.404555441  0.654684080 -3.026724937  4.161152579 -1.442872036
## [106]  1.784056713 -1.783712826 -1.948970227 -0.951160944  0.772646639
## [111] -1.709492881 -0.793878346  0.139798601 -0.779046200 -0.026950229
## [116] -3.116399073 -1.742698849  0.012364592 -1.725964768 -1.581609441
## [121]  0.147873526 -1.683501360 -1.628576805 -1.589753545 -2.854180917
## [126] -2.264444604  0.431575684 -0.742633888 -2.598843801 -1.944399388
## [131]  3.472329321 -2.249828647 -1.994339942  0.188427628 -2.803936962
## [136]  1.035595103 -1.671824636 -0.346170376 -2.557398366 -1.394396275
## [141]  2.583933566 -0.580435542 -0.849555175  0.899210334 -2.157228259
## [146] -3.086308797 -1.243519253 -0.701617729  0.317352103 -3.110998303
## [151]  0.078495165  1.357741720 -1.688823044 -2.611716246 -0.545398472
## [156] -1.454176234  0.484732685 -0.803888282 -1.751222071 -0.849667858
## [161] -2.295745564 -1.315602022 -2.967411166  2.195659364 -1.799640531
## [166] -2.267499864 -2.438326584 -0.546921486  0.102371470 -2.061535045
## [171]  0.883143650 -0.356799882 -1.755012468 -2.894482756 -0.923883713
## [176] -1.478856550 -1.805528690 -0.422256543 -1.020058776 -1.556605309
## [181]  3.297043938 -1.788449506 -0.756377615 -0.570563606 -0.257019080
## [186] -0.271171925 -0.763464412 -0.883916741 -3.017321856  0.611986059
## [191] -2.086475486  2.428000404 -0.520185212  2.207916216 -2.326459486
## [196] -0.521215600  0.607865029 -1.291605708 -1.051226094  3.049655649
## [201] -1.464700168 -1.493422839  0.508442506  0.553542092 -1.393643797
## [206] -1.269006440 -1.666597493 -2.541970336 -0.008667450 -0.733884653
## [211]  0.608717580 -0.062193723  0.572044587  0.982273549  0.882623294
## [216] -2.117010028 -0.256692316 -2.732321561 -1.846751940 -1.043470353
## [221] -2.382000805  1.144857550 -1.531959612 -1.845478412 -2.067526697
## [226] -2.418598931 -0.822216458 -0.870883801 -0.576904708 -1.163941312
## [231]  3.038055583  0.383520505 -0.444997077 -0.956829210 -1.807362784
## [236] -2.378991971 -2.274945670 -1.970890979  0.912621163  0.831456232
## [241] -2.631392943  0.627074325 -2.755005427 -2.883203322 -1.447274453
## [246] -1.679519748 -1.112149620 -1.013524437 -0.991118281  4.428265216
## [251] -1.614350416  0.880246262 -1.875303944 -0.714789462  2.334774276
## [256]  2.552811445  1.944551322  1.445789756  1.094230151  1.237333632
## [261]  2.529184930  2.569047517  0.190814865  0.790737539  1.110053840
## [266] -1.119104859 -1.357124742  0.616068372  1.310460566  0.458935894
## [271] -0.996924504  2.140230215  4.457069978 -0.666539959 -1.541869231
## [276] -0.143239703 -0.501110874 -0.107107881 -0.561078551 -1.396723892
## [281]  0.646480535 -0.439698862  1.370494088  0.695394229  0.165762902
## [286] -0.147980407  0.734673295  0.438006650 -0.829013043  2.833537970
## [291]  0.201216164  0.107365207  0.004486861  3.839594442  2.409949802
## [296] -0.129783177  2.705561285 -0.122989304  2.486750398 -1.263723371
## [301]  0.247663844 -1.615147588  0.788147811 -0.145496013  0.374167504
## [306]  0.216686851 -0.970090272  1.011360802  0.335455960  0.779038416
## [311]  1.239550895 -0.619765407 -1.085765196  1.252051299  1.576130020
## [316] -1.724178861  2.928234792  2.337052664  1.186018770  1.395664161
## [321]  0.570207924  2.681061281  3.124464720  3.293343026  2.483991926
## [326]  0.610662789  0.249460741  1.020133169  0.846768298  0.131310551
## [331]  4.323580385  3.365603536  1.081331546  1.392871180  1.558711110
## [336]  1.358820498 -1.478176356 -0.560862141  1.211323509  3.188982107
## [341]  0.830613036  1.012927695  2.020433744  2.407338547  0.475127038
## [346] -0.213785629  1.558734780  4.227030922  2.656334459  0.726024403
## [351]  3.332928179  2.627044602  0.244983452 -1.188635994  0.440089868
## [356] -2.380575687  2.481286327  0.590847610  0.859674835  1.098708285
## [361]  0.304041016  3.688052904 -1.093890375  1.162007947  0.716305849
## [366]  0.945557309  0.936810306  0.756864170  1.187075542 -0.958304164
## [371]  0.338366666  0.436905369 -1.600906161 -0.606678606  1.522220793
## [376] -0.616819649  0.769372279 -2.022349370 -0.332153197  0.343466327
## [381]  1.959969115  1.096291828  4.788824260  2.953241175  3.953080801
## [386]  1.596020067 -0.507005542  1.767976688  0.037281413  0.842170869
## [391]  0.843783436 -1.934960875  3.069766792 -0.841372906 -1.063573636
## [396]  0.049601141 -1.665456349  4.322602450  1.398007661  4.437649222
## [401] -0.352878266  1.725305338  1.092839134  0.394293776 -1.893315001
## [406]  0.244260942  0.262897634  1.370436207  2.106911367 -1.102330387
## [411]  0.436767359  0.343019654  1.915190881  2.995598088 -0.908553129
## [416]  1.048686817 -1.182920861  0.732075729  0.896131733 -0.016016455
## [421]  1.985146731  1.342184972  0.582869712  1.003746316 -0.170756689
## [426]  0.003398704 -0.806248037  0.172106286 -2.053476354 -0.353274366
## [431] -1.778921791  0.617449086  1.530034315  3.178031465  0.921401559
## [436]  0.645929806 -1.513291067  0.132122691  2.530822040  0.562399002
## [441] -1.123704946  2.899339955  1.447296233  1.327063713  2.165907466
## [446]  1.044641541  1.202873706  1.490951035 -0.108700619  1.683964972
## [451]  1.931366277 -1.473569098  1.364876540 -0.565196904  3.459769850
## [456] -0.059530828  3.684124970  0.477071264  0.867484119  2.690776727
## [461]  1.651209677 -0.418698730  2.515538347  2.432114603  0.415237535
## [466]  1.793212788  0.328231726  1.331171631  2.697729195  0.523474164
## [471] -0.214088712 -0.450705924  0.096310378  0.803328451  0.892743466
## [476]  0.356060813  1.045887851  1.635114048  3.384171406 -1.291011741
## [481]  3.533787560  2.879625120 -0.850903456 -1.318214773  0.361009385
## [486]  2.419910959  0.848012547  1.928009671 -0.563124316  2.466669285
## [491]  1.689760534  1.383002288  2.310823507 -1.017633122  0.534075967
## [496]  1.802404767 -1.519954938  1.835909217  3.899033820
#The aboved two gives us the same thing. predict is a good function to know.
Diabetes$Diabetes_binary <- as.factor(Diabetes$Diabetes_binary)
out <- sapply(1:15, function(i){plot(Diabetes$Diabetes_binary,Diabetes_pca$x[,i],xlab=paste("PC",i,sep=""),ylab="Diabetes_binary")})

pairs(Diabetes_pca$x[,1:15], ylim = c(-6,4),xlim = c(-6,4),panel=function(x,y,...){text(x,y,Diabetes$Diabetes_binary)})

# Better Ways to Visualize

library(factoextra)
## Warning: package 'factoextra' was built under R version 4.2.2
## Loading required package: ggplot2
## Warning: package 'ggplot2' was built under R version 4.2.2
## Welcome! Want to learn more? See two factoextra-related books at https://goo.gl/ve3WBa

library(FactoMineR)
## Warning: package 'FactoMineR' was built under R version 4.2.2
library(ggfortify)
## Warning: package 'ggfortify' was built under R version 4.2.2
library(psych)
## Warning: package 'psych' was built under R version 4.2.2
## 
## Attaching package: 'psych'
## 
## The following objects are masked from 'package:ggplot2':
## 
##     %+%, alpha
library(corrplot)
## Warning: package 'corrplot' was built under R version 4.2.2
## corrplot 0.92 loaded
library(devtools)
## Warning: package 'devtools' was built under R version 4.2.2
## Loading required package: usethis
## Warning: package 'usethis' was built under R version 4.2.2
# Correlation
pairs.panels(Diabetes[,-1],
             gap = 0,
             bg = c("red", "blue")[Diabetes$Diabetes_binary],
             pch=21)

pairs.panels(Diabetes_pca$x,
             gap=0,
             bg = c("red", "blue")[Diabetes$Diabetes_binary],
             pch=21)

fviz_eig(Diabetes_pca, addlabels = TRUE)

fviz_pca_var(Diabetes_pca,col.var = "cos2",
             gradient.cols = c("#FFCC00", "#CC9933", "#660033", "#330033"),
             repel = TRUE)

fviz_pca_ind(Diabetes_pca, col.ind = "cos2", 
                  gradient.cols = c("#FFCC00", "#CC9933", "#660033", "#330033"), 
                  repel = TRUE)

biplot(Diabetes_pca)

autoplot(Diabetes_pca,
         data = Diabetes[,-1],
         loadings = TRUE,
         labels = Diabetes$Diabetes_binary)

# Different PCA Method. 
res.pca <- PCA(Diabetes[,-1], graph = FALSE)
print(res.pca)
## **Results for the Principal Component Analysis (PCA)**
## The analysis was performed on 499 individuals, described by 15 variables
## *The results are available in the following objects:
## 
##    name               description                          
## 1  "$eig"             "eigenvalues"                        
## 2  "$var"             "results for the variables"          
## 3  "$var$coord"       "coord. for the variables"           
## 4  "$var$cor"         "correlations variables - dimensions"
## 5  "$var$cos2"        "cos2 for the variables"             
## 6  "$var$contrib"     "contributions of the variables"     
## 7  "$ind"             "results for the individuals"        
## 8  "$ind$coord"       "coord. for the individuals"         
## 9  "$ind$cos2"        "cos2 for the individuals"           
## 10 "$ind$contrib"     "contributions of the individuals"   
## 11 "$call"            "summary statistics"                 
## 12 "$call$centre"     "mean of the variables"              
## 13 "$call$ecart.type" "standard error of the variables"    
## 14 "$call$row.w"      "weights for the individuals"        
## 15 "$call$col.w"      "weights for the variables"
# Visualize and Interpret PCA using these functions 

#get_eigenvalue(res.pca): Extract the eigenvalues/variances of principal components
#fviz_eig(res.pca): Visualize the eigenvalues
#get_pca_ind(res.pca), get_pca_var(res.pca): Extract the results for individuals and variables, respectively.
#fviz_pca_ind(res.pca), fviz_pca_var(res.pca): Visualize the results individuals and variables, respectively.
#fviz_pca_biplot(res.pca): Make a biplot of individuals and variables.

eig.val <- get_eigenvalue(res.pca)
eig.val
##        eigenvalue variance.percent cumulative.variance.percent
## Dim.1   3.1141387        20.760925                    20.76092
## Dim.2   1.5726732        10.484488                    31.24541
## Dim.3   1.2424327         8.282884                    39.52830
## Dim.4   1.1566511         7.711007                    47.23930
## Dim.5   1.0381229         6.920819                    54.16012
## Dim.6   1.0188088         6.792059                    60.95218
## Dim.7   0.9635902         6.423934                    67.37612
## Dim.8   0.8440998         5.627332                    73.00345
## Dim.9   0.8119361         5.412908                    78.41636
## Dim.10  0.6981272         4.654181                    83.07054
## Dim.11  0.6515293         4.343529                    87.41407
## Dim.12  0.5708524         3.805682                    91.21975
## Dim.13  0.5189659         3.459773                    94.67952
## Dim.14  0.4408837         2.939224                    97.61875
## Dim.15  0.3571881         2.381254                   100.00000
fviz_eig(res.pca, addlabels = TRUE, ylim = c(0, 50))

var <- get_pca_var(res.pca)
#var$coord: coordinates of variables to create a scatter plot
#var$cos2: represents the quality of representation for variables on the factor map. It’s calculated as the squared coordinates: var.cos2 = var.coord * var.coord.
#var$contrib: contains the contributions (in percentage) of the variables to the principal components. 
#The contribution of a variable (var) to a given principal component is (in percentage) : (var.cos2 * 100) / (total cos2 of the component).
var
## Principal Component Analysis Results for variables
##  ===================================================
##   Name       Description                                    
## 1 "$coord"   "Coordinates for the variables"                
## 2 "$cor"     "Correlations between variables and dimensions"
## 3 "$cos2"    "Cos2 for the variables"                       
## 4 "$contrib" "contributions of the variables"
# Coordinates
head(var$coord)
##                           Dim.1       Dim.2       Dim.3       Dim.4
## HighBP                0.5755530  0.30900012 -0.14828986 -0.28048927
## BMI                   0.2958101 -0.12771310  0.04592791 -0.71500621
## Smoker                0.1647058  0.43916037  0.32255772  0.05623972
## Stroke                0.3738372  0.20346123 -0.15231841  0.39872206
## HeartDiseaseorAttack  0.4219157  0.39712076  0.01312907  0.31413022
## PhysActivity         -0.5136760 -0.07225694 -0.03747418  0.29537828
##                             Dim.5
## HighBP                0.008426104
## BMI                   0.072782007
## Smoker               -0.560488919
## Stroke                0.409286731
## HeartDiseaseorAttack  0.198817602
## PhysActivity         -0.348771679
# Cos2: quality on the factore map
head(var$cos2)
##                           Dim.1       Dim.2        Dim.3       Dim.4
## HighBP               0.33126127 0.095481075 0.0219898831 0.078674229
## BMI                  0.08750359 0.016310635 0.0021093725 0.511233874
## Smoker               0.02712799 0.192861831 0.1040434852 0.003162906
## Stroke               0.13975422 0.041396473 0.0232008985 0.158979278
## HeartDiseaseorAttack 0.17801287 0.157704895 0.0001723724 0.098677798
## PhysActivity         0.26386303 0.005221066 0.0014043141 0.087248330
##                             Dim.5
## HighBP               7.099923e-05
## BMI                  5.297221e-03
## Smoker               3.141478e-01
## Stroke               1.675156e-01
## HeartDiseaseorAttack 3.952844e-02
## PhysActivity         1.216417e-01
# Contributions to the principal components
head(var$contrib)
##                           Dim.1      Dim.2      Dim.3      Dim.4        Dim.5
## HighBP               10.6373319  6.0712596 1.76990544  6.8018983  0.006839193
## BMI                   2.8098810  1.0371280 0.16977761 44.1994902  0.510269131
## Smoker                0.8711234 12.2633123 8.37417503  0.2734538 30.261141145
## Stroke                4.4877326  2.6322361 1.86737675 13.7447916 16.136396943
## HeartDiseaseorAttack  5.7162794 10.0278233 0.01387378  8.5313368  3.807684023
## PhysActivity          8.4730659  0.3319867 0.11302939  7.5431851 11.717464965
#The plot Below is also known as variable correlation plots. It shows the relationships between all variables. It can be interpreted as follow:

#Positively correlated variables are grouped together.
#Negatively correlated variables are positioned on opposite sides of the plot origin (opposed quadrants).
#The distance between variables and the origin measures the quality of the variables on the factor map. 
#Variables that are away from the origin are well represented on the factor map.

# Correlation circle
fviz_pca_var(res.pca, col.var = "black")

# Quality of representation


corrplot(var$cos2, is.corr=FALSE)

# Total cos2 of variables on Dim.1 and Dim.2
#A high cos2 indicates a good representation of the variable on the principal component. 
#In this case the variable is positioned close to the circumference of the correlation circle.
#A low cos2 indicates that the variable is not perfectly represented by the PCs. 
#In this case the variable is close to the center of the circle.

fviz_cos2(res.pca, choice = "var", axes = 1:2)

fviz_pca_var(res.pca, col.var = "cos2",
             gradient.cols = c("#00AFBB", "#E7B800", "#FC4E07"), 
             repel = TRUE # Avoid text overlapping
             )

# Change the transparency by cos2 values
fviz_pca_var(res.pca, alpha.var = "cos2")

corrplot(var$contrib, is.corr=FALSE)

# Contributions of variables to PC1
fviz_contrib(res.pca, choice = "var", axes = 1, top = 10)

# Contributions of variables to PC2
fviz_contrib(res.pca, choice = "var", axes = 2, top = 10)

fviz_pca_var(res.pca, col.var = "contrib",
             gradient.cols = c("#00AFBB", "#E7B800", "#FC4E07")
             )

fviz_pca_var(res.pca, alpha.var = "contrib")

fviz_pca_ind(res.pca,
             geom.ind = "point", # show points only (nbut not "text")
             col.ind = Diabetes$Diabetes_binary, # color by groups
             palette = c("#00AFBB", "#E7B800", "#FC4E07"),
             addEllipses = TRUE, # Concentration ellipses
             legend.title = "Groups"
             )

# Description of PC

res.desc <- dimdesc(res.pca, axes = c(1,2,3,4,5), proba = 0.05)
# Description of dimension 1
res.desc$Dim.1
## 
## Link between the variable and the continuous variables (R-square)
## =================================================================================
##                      correlation       p.value
## GenHlth                0.7772239 4.663542e-102
## PhysHlth               0.6164081  1.509228e-53
## HighBP                 0.5755530  2.333203e-45
## HeartDiseaseorAttack   0.4219157  5.866034e-23
## MentHlth               0.4127509  5.989292e-22
## Age                    0.3751377  4.032960e-18
## Stroke                 0.3738372  5.362449e-18
## BMI                    0.2958101  1.553562e-11
## Smoker                 0.1647058  2.196378e-04
## Sex                   -0.1407834  1.617727e-03
## HvyAlcoholConsump     -0.1593234  3.529992e-04
## PhysActivity          -0.5136760  6.021143e-35
## Education             -0.5654041  1.691621e-43
## Income                -0.6530852  5.359940e-62
res.desc$Dim.2
## 
## Link between the variable and the continuous variables (R-square)
## =================================================================================
##                      correlation      p.value
## Age                    0.5653396 1.737492e-43
## Sex                    0.5439062 9.188140e-40
## Smoker                 0.4391604 6.079956e-25
## AnyHealthcare          0.4129574 5.688153e-22
## HeartDiseaseorAttack   0.3971208 2.678940e-20
## HighBP                 0.3090001 1.680681e-12
## Income                 0.2776844 2.754566e-10
## Education              0.2338630 1.260791e-07
## Stroke                 0.2034612 4.614533e-06
## GenHlth               -0.1227916 6.023908e-03
## BMI                   -0.1277131 4.270609e-03
## PhysHlth              -0.1398789 1.734811e-03
## MentHlth              -0.3335641 1.965986e-14
res.desc$Dim.3
## 
## Link between the variable and the continuous variables (R-square)
## =================================================================================
##                   correlation      p.value
## Sex                 0.4821564 2.056150e-30
## PhysHlth            0.4644645 4.555771e-28
## MentHlth            0.4242476 3.210924e-23
## Income              0.3446190 2.320598e-15
## Smoker              0.3225577 1.517195e-13
## HvyAlcoholConsump   0.2703860 8.275958e-10
## GenHlth             0.2530448 9.927377e-09
## Education           0.2154367 1.188306e-06
## HighBP             -0.1482899 8.917480e-04
## Stroke             -0.1523184 6.402997e-04
## Age                -0.3977122 2.328550e-20
res.desc$Dim.4
## 
## Link between the variable and the continuous variables (R-square)
## =================================================================================
##                      correlation      p.value
## Stroke                0.39872206 1.831676e-20
## MentHlth              0.32427278 1.109456e-13
## HeartDiseaseorAttack  0.31413022 6.863008e-13
## PhysActivity          0.29537828 1.667717e-11
## HvyAlcoholConsump     0.17354802 9.753072e-05
## Education            -0.09547993 3.297523e-02
## Sex                  -0.24395677 3.399178e-08
## HighBP               -0.28048927 1.789189e-10
## BMI                  -0.71500621 2.754411e-79
res.desc$Dim.5
## 
## Link between the variable and the continuous variables (R-square)
## =================================================================================
##                      correlation      p.value
## Stroke                0.40928673 1.414983e-21
## Education             0.38783296 2.333936e-19
## HvyAlcoholConsump     0.28843821 5.128811e-11
## Income                0.25849440 4.636265e-09
## HeartDiseaseorAttack  0.19881760 7.646138e-06
## GenHlth               0.11645516 9.220954e-03
## PhysHlth              0.11500141 1.013967e-02
## Sex                  -0.09799224 2.861420e-02
## AnyHealthcare        -0.13150990 3.249084e-03
## MentHlth             -0.18585149 2.945401e-05
## PhysActivity         -0.34877168 1.017071e-15
## Smoker               -0.56048892 1.277557e-42
# Graph of Indiviuals
ind <- get_pca_ind(res.pca)
ind
## Principal Component Analysis Results for individuals
##  ===================================================
##   Name       Description                       
## 1 "$coord"   "Coordinates for the individuals" 
## 2 "$cos2"    "Cos2 for the individuals"        
## 3 "$contrib" "contributions of the individuals"
## Principal Component Analysis Results for individuals
##  ===================================================
##   Name       Description                       
## 1 "$coord"   "Coordinates for the individuals" 
## 2 "$cos2"    "Cos2 for the individuals"        
## 3 "$contrib" "contributions of the individuals"
#To get access to the different components, use this:

# Coordinates of individuals
head(ind$coord)
##        Dim.1       Dim.2        Dim.3      Dim.4      Dim.5
## 1 -0.6068489 -0.39857709  2.394359233 -0.2385498  0.8500793
## 2  0.3531616  2.83319337  0.002295706  0.3255218  1.5447762
## 3 -2.1802994  1.16071488  0.002064581  0.1843823  0.4073325
## 4 -0.9273956  1.91480913  0.678767991 -0.5745436 -0.5152554
## 5 -1.8203005 -0.05001671 -0.037410804  0.3767800 -0.7849493
## 6 -2.1657672 -3.78059007  0.375230671  1.2311369  0.2459153
# Quality of individuals
head(ind$cos2)
##         Dim.1        Dim.2        Dim.3       Dim.4       Dim.5
## 1 0.022870492 0.0098659528 3.560352e-01 0.003534049 0.044877969
## 2 0.006138903 0.3950901968 2.594039e-07 0.005215597 0.117455937
## 3 0.366559457 0.1038874881 3.286821e-07 0.002621505 0.012794118
## 4 0.112682991 0.4803737947 6.036303e-02 0.043248830 0.034783517
## 5 0.486001354 0.0003669286 2.052794e-04 0.020822216 0.090372132
## 6 0.127987345 0.3899982400 3.841848e-03 0.041357679 0.001650116
# Contributions of individuals
head(ind$contrib)
##         Dim.1        Dim.2        Dim.3       Dim.4      Dim.5
## 1 0.023698597 0.0202435010 9.247093e-01 0.009859509 0.13949850
## 2 0.008026172 1.0228533942 8.500788e-07 0.018359352 0.46066143
## 3 0.305910080 0.1716769779 6.875281e-07 0.005890275 0.03202941
## 4 0.055346676 0.4672097933 7.431377e-02 0.057193034 0.05125023
## 5 0.213229702 0.0003187802 2.257463e-04 0.024596469 0.11894165
## 6 0.301845747 1.8212943259 2.271032e-02 0.262609105 0.01167406
fviz_pca_ind(res.pca)

fviz_pca_ind(res.pca, col.ind = "cos2", 
             gradient.cols = c("#00AFBB", "#E7B800", "#FC4E07"),
             repel = TRUE # Avoid text overlapping (slow if many points)
             )

fviz_pca_ind(res.pca, pointsize = "cos2", 
             pointshape = 21, fill = "#E7B800",
             repel = TRUE # Avoid text overlapping (slow if many points)
             )

fviz_pca_ind(res.pca, col.ind = "cos2", pointsize = "cos2",
             gradient.cols = c("#00AFBB", "#E7B800", "#FC4E07"),
             repel = TRUE # Avoid text overlapping (slow if many points)
             )

fviz_cos2(res.pca, choice = "ind")

# Total contribution on PC1 and PC2
fviz_contrib(res.pca, choice = "ind", axes = 1:2)

# Create a random continuous variable of length 23,
# Same length as the number of active individuals in the PCA
set.seed(123)
my.cont.var <- rnorm(49)
# Color individuals by the continuous variable


fviz_pca_ind(res.pca,
             geom.ind = "point", # show points only (nbut not "text")
             col.ind = Diabetes$Diabetes_binary, # color by groups
             palette = c("#00AFBB", "#E7B800", "#FC4E07"),
             addEllipses = TRUE, # Concentration ellipses
             legend.title = "Groups"
             )

fviz_pca_ind(res.pca, geom.ind = "point", col.ind = Diabetes$Diabetes_binary, 
             palette = c("#00AFBB", "#E7B800", "#FC4E07"),
             addEllipses = TRUE, ellipse.type = "confidence",
             legend.title = "Groups"
             )

fviz_pca_ind(res.pca,
             label = "none", # hide individual labels
             habillage = Diabetes$Diabetes_binary, # color by groups
             addEllipses = TRUE, # Concentration ellipses
             palette = "jco"
             )

fviz_pca_var(res.pca, geom.var = c("point", "text"))

# Show individuals text labels only
fviz_pca_ind(res.pca, geom.ind =  "text")

# Change the size of arrows an labels
fviz_pca_var(res.pca, arrowsize = 1, labelsize = 5, 
             repel = TRUE)

# Change points size, shape and fill color
# Change labelsize
fviz_pca_ind(res.pca, 
             pointsize = 3, pointshape = 21, fill = "lightblue",
             labelsize = 5, repel = TRUE)

fviz_pca_ind(res.pca,
             geom.ind = "point", # show points only (but not "text")
             group.ind = Diabetes$Diabetes_binary, # color by groups
             legend.title = "Groups",
             mean.point = FALSE)

fviz_pca_ind(res.pca,
             geom.ind = "point", # show points only (but not "text")
             group.ind = Diabetes$Diabetes_binary, # color by groups
             legend.title = "Groups",
             mean.point = TRUE)

fviz_pca_var(res.pca, axes.linetype = "blank")

ind.p <- fviz_pca_ind(res.pca, geom = "point", col.ind = Diabetes$Diabetes_binary)
ggpubr::ggpar(ind.p,
              title = "Principal Component Analysis",
              subtitle = "Diabetes data set",
              caption = "Source: factoextra",
              xlab = "PC1", ylab = "PC2",
              legend.title = "Diabetes_binary", legend.position = "top",
              ggtheme = theme_gray(), palette = "jco"
              )

fviz_pca_biplot(res.pca, repel = TRUE,col.ind = Diabetes$Diabetes_binary,
                col.var = "#2E9FDF", # Variables color
                )

fviz_pca_biplot(res.pca, 
                col.ind = Diabetes$Diabetes_binary, palette = "jco", 
                addEllipses = TRUE, label = "var",
                col.var = "black", repel = TRUE,
                legend.title = "Diabetes_binary") 

fviz_pca_biplot(res.pca, 
                # Fill individuals by groups
                geom.ind = "point",
                pointshape = 21,
                pointsize = 2.5,
                fill.ind = Diabetes$Diabetes_binary,
                col.ind = "black",
                # Color variable by groups
                legend.title = list(fill = "Diabetes_binary", color = "Clusters"),
                repel = TRUE        # Avoid label overplotting
             )+
  ggpubr::fill_palette("jco")+      # Indiviual fill color
  ggpubr::color_palette("npg")      # Variable colors

fviz_pca_biplot(res.pca, 
                # Individuals
                geom.ind = "point",
                fill.ind = Diabetes$Diabetes_binary, col.ind = "black",
                pointshape = 21, pointsize = 2,
                palette = "jco",
                addEllipses = TRUE,
                # Variables
                alpha.var ="contrib", col.var = "contrib",
                gradient.cols = "RdYlBu",
                
                legend.title = list(fill = "Diabetes_binary", color = "Contrib",
                                    alpha = "Contrib")
                )

## http://www.sthda.com/english/articles/31-principal-component-methods-in-r-practical-guide/112-pca-principal-component-analysis-essentials/

Inference regarding PCA

#EFA

# Factor Analysis

library(psych)


Diabetes <- read.csv("C:/Users/vidhi/Downloads/Diabetes.csv")

attach(Diabetes)
## The following objects are masked from Diabetes (pos = 11):
## 
##     Age, AnyHealthcare, BMI, Diabetes_binary, Education, GenHlth,
##     HeartDiseaseorAttack, HighBP, HvyAlcoholConsump, Income, MentHlth,
##     PhysActivity, PhysHlth, Sex, Smoker, Stroke
Diabetes[1]
##     Diabetes_binary
## 1                 0
## 2                 0
## 3                 0
## 4                 0
## 5                 0
## 6                 0
## 7                 0
## 8                 0
## 9                 0
## 10                0
## 11                0
## 12                0
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fit.pc <- principal(Diabetes[-1], nfactors=4, rotate="varimax")
fit.pc
## Principal Components Analysis
## Call: principal(r = Diabetes[-1], nfactors = 4, rotate = "varimax")
## Standardized loadings (pattern matrix) based upon correlation matrix
##                        RC1   RC4   RC2   RC3   h2   u2 com
## HighBP                0.10  0.62  0.37  0.00 0.53 0.47 1.7
## BMI                   0.07  0.71 -0.33  0.05 0.62 0.38 1.4
## Smoker                0.19  0.05  0.32  0.44 0.33 0.67 2.3
## Stroke                0.19 -0.05  0.54 -0.18 0.36 0.64 1.5
## HeartDiseaseorAttack  0.24  0.04  0.61  0.06 0.43 0.57 1.3
## PhysActivity         -0.25 -0.53 -0.12  0.00 0.36 0.64 1.5
## HvyAlcoholConsump     0.12 -0.28 -0.06  0.18 0.13 0.87 2.3
## AnyHealthcare        -0.12  0.00  0.34  0.21 0.18 0.82 2.0
## GenHlth               0.69  0.41  0.15 -0.11 0.68 0.32 1.8
## MentHlth              0.73 -0.14 -0.02 -0.11 0.57 0.43 1.1
## PhysHlth              0.76  0.20  0.06  0.05 0.62 0.38 1.2
## Sex                  -0.02  0.10  0.07  0.77 0.61 0.39 1.0
## Age                  -0.18  0.32  0.70 -0.04 0.62 0.38 1.6
## Education            -0.33 -0.25 -0.18  0.47 0.43 0.57 2.8
## Income               -0.30 -0.38 -0.19  0.59 0.62 0.38 2.5
## 
##                        RC1  RC4  RC2  RC3
## SS loadings           2.05 1.80 1.73 1.51
## Proportion Var        0.14 0.12 0.12 0.10
## Cumulative Var        0.14 0.26 0.37 0.47
## Proportion Explained  0.29 0.25 0.24 0.21
## Cumulative Proportion 0.29 0.54 0.79 1.00
## 
## Mean item complexity =  1.7
## Test of the hypothesis that 4 components are sufficient.
## 
## The root mean square of the residuals (RMSR) is  0.09 
##  with the empirical chi square  824.61  with prob <  3.5e-140 
## 
## Fit based upon off diagonal values = 0.74
round(fit.pc$values, 3)
##  [1] 3.114 1.573 1.242 1.157 1.038 1.019 0.964 0.844 0.812 0.698 0.652 0.571
## [13] 0.519 0.441 0.357
fit.pc$loadings
## 
## Loadings:
##                      RC1    RC4    RC2    RC3   
## HighBP                0.105  0.617  0.369       
## BMI                          0.709 -0.326       
## Smoker                0.189         0.316  0.435
## Stroke                0.187         0.541 -0.183
## HeartDiseaseorAttack  0.240         0.610       
## PhysActivity         -0.255 -0.529 -0.115       
## HvyAlcoholConsump     0.117 -0.277         0.185
## AnyHealthcare        -0.122         0.343  0.213
## GenHlth               0.693  0.412  0.153 -0.105
## MentHlth              0.731 -0.142        -0.109
## PhysHlth              0.758  0.196              
## Sex                                        0.770
## Age                  -0.178  0.323  0.695       
## Education            -0.328 -0.254 -0.184  0.473
## Income               -0.295 -0.384 -0.188  0.594
## 
##                  RC1   RC4   RC2   RC3
## SS loadings    2.054 1.800 1.726 1.505
## Proportion Var 0.137 0.120 0.115 0.100
## Cumulative Var 0.137 0.257 0.372 0.472
# Loadings with more digits
for (i in c(1,3,2,4)) { print(fit.pc$loadings[[1,i]])}
## [1] 0.1048482
## [1] 0.3688329
## [1] 0.6167453
## [1] 0.000927694
# Communalities
fit.pc$communality
##               HighBP                  BMI               Smoker 
##            0.5274065            0.6171575            0.3271962 
##               Stroke HeartDiseaseorAttack         PhysActivity 
##            0.3633309            0.4345679            0.3577367 
##    HvyAlcoholConsump        AnyHealthcare              GenHlth 
##            0.1286226            0.1777654            0.6847635 
##             MentHlth             PhysHlth                  Sex 
##            0.5667671            0.6197077            0.6076436 
##                  Age            Education               Income 
##            0.6206563            0.4299031            0.6226707
# Rotated factor scores, Notice the columns ordering: RC1, RC3, RC2 and RC4
fit.pc$scores
##                 RC1          RC4           RC2          RC3
##   [1,]  1.190940345 -0.447633173 -1.0900051622  1.437413860
##   [2,] -0.504300810  0.170578531  1.8269624937  1.266493486
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## [463,]  1.026250291  1.133128065  1.4086433729  1.756111177
## [464,]  1.020340290  2.125167276 -1.0753084236  0.121132750
## [465,] -0.515308147  0.095289033  0.6330111549 -0.890362435
## [466,]  0.625453688 -0.555664470  1.0343837814 -1.767882310
## [467,] -0.323554926  0.699961269  0.0989050803  0.162742435
## [468,] -0.244052800  1.172185812 -0.0621375850 -0.987983423
## [469,]  0.279146385  2.084391148 -0.6016809289 -1.520151588
## [470,] -0.671463165  0.295946814  0.2393927635 -1.674661431
## [471,] -0.185779509  0.206683680  0.7588582842  1.604654560
## [472,] -0.661342092  0.411508920 -0.6491529519 -0.781555278
## [473,] -0.416150550  0.959046444  0.2707453584  1.223441190
## [474,] -0.166564426  1.230445742 -0.6717141827 -0.541949115
## [475,]  0.039690503  1.350061851 -0.6978726938 -0.034273513
## [476,] -0.730075977  1.282155869 -0.0787760604  0.077493266
## [477,] -0.349985593  0.283904136  1.2387986743 -0.472786502
## [478,]  0.444416311  1.433462511 -0.6360433974 -0.342483029
## [479,]  3.524223738  0.001762277 -1.6180769622 -1.176934762
## [480,] -1.226368219 -0.916431417  0.5725209585 -1.234626500
## [481,]  0.499891503  1.556060863  1.3915971185 -0.729974592
## [482,]  0.847382030  0.245545920  1.1030102697 -1.720485660
## [483,] -0.640596495  0.527635324  0.1179396510  1.517451626
## [484,] -0.934548084 -0.052783327  0.6221169954  1.368710618
## [485,] -0.132762802  0.793795392  0.1895593730  0.878054822
## [486,]  1.365794194  1.759588531 -0.7970794705  0.633700851
## [487,] -0.135667719  1.028674598  0.4491084764  0.755663715
## [488,]  0.249449619  2.141986392 -0.8515213794 -0.273249521
## [489,]  0.070761613 -0.079032256 -0.0484752632  1.087139815
## [490,]  1.417059817  2.204925965 -0.8124820113  1.554303628
## [491,]  0.557654232 -0.040594097  0.6451225122 -1.252363472
## [492,]  0.339394617  0.863483821 -0.6550039891 -1.277522943
## [493,]  0.621561345 -0.693376065  2.9921229363 -0.098467472
## [494,] -0.973813748 -0.592884218  0.0560083113 -1.333889877
## [495,] -0.519216458  1.029284401  1.0196347736  1.383645319
## [496,] -0.108929066  2.612209998 -0.4456639783  0.741841932
## [497,] -0.093541659 -0.208083513 -1.2903314590  0.482427138
## [498,]  0.238126018  1.042289451  0.5680780240 -0.186416191
## [499,]  1.076484369  1.722948109  0.7376440114 -0.792581822
# Play with FA utilities

fa.parallel(Diabetes[-1]) # See factor recommendation

## Parallel analysis suggests that the number of factors =  5  and the number of components =  3
fa.plot(fit.pc) # See Correlations within Factors

fa.diagram(fit.pc) # Visualize the relationship

vss(Diabetes[-1]) # See Factor recommendations for a simple structure

## 
## Very Simple Structure
## Call: vss(x = Diabetes[-1])
## Although the VSS complexity 1 shows  8  factors, it is probably more reasonable to think about  1  factors
## VSS complexity 2 achieves a maximimum of 0.64  with  8  factors
## 
## The Velicer MAP achieves a minimum of 0.02  with  1  factors 
## BIC achieves a minimum of  -252.89  with  3  factors
## Sample Size adjusted BIC achieves a minimum of  -60.06  with  5  factors
## 
## Statistics by number of factors 
##   vss1 vss2   map dof chisq    prob sqresid  fit RMSEA  BIC SABIC complex
## 1 0.43 0.00 0.016  90 423.9 9.5e-45    12.2 0.43 0.086 -135   150     1.0
## 2 0.42 0.52 0.020  76 291.5 5.6e-27    10.2 0.52 0.075 -181    61     1.4
## 3 0.40 0.54 0.024  63 138.5 1.4e-07     9.0 0.58 0.049 -253   -53     1.6
## 4 0.40 0.55 0.032  51  97.5 9.6e-05     8.1 0.62 0.043 -219   -57     1.7
## 5 0.42 0.59 0.042  40  61.5 1.6e-02     7.3 0.66 0.033 -187   -60     1.7
## 6 0.44 0.59 0.054  30  32.3 3.6e-01     6.5 0.70 0.012 -154   -59     1.7
## 7 0.47 0.61 0.077  21  15.9 7.8e-01     5.8 0.73 0.000 -115   -48     1.7
## 8 0.50 0.64 0.096  13   9.5 7.3e-01     5.3 0.75 0.000  -71   -30     1.8
##   eChisq   SRMR eCRMS eBIC
## 1    611 0.0763 0.082   51
## 2    341 0.0571 0.067 -131
## 3    170 0.0403 0.052 -221
## 4    110 0.0324 0.046 -207
## 5     64 0.0247 0.040 -185
## 6     30 0.0168 0.031 -157
## 7     14 0.0116 0.026 -116
## 8      7 0.0081 0.023  -74
# Computing Correlation Matrix
corrm.emp <- cor(Diabetes[-1])
corrm.emp
##                           HighBP          BMI       Smoker       Stroke
## HighBP                1.00000000  0.233271793  0.108150142  0.139773759
## BMI                   0.23327179  1.000000000 -0.004787471 -0.011000074
## Smoker                0.10815014 -0.004787471  1.000000000  0.052092579
## Stroke                0.13977376 -0.011000074  0.052092579  1.000000000
## HeartDiseaseorAttack  0.22312155  0.012686820  0.119860406  0.276533735
## PhysActivity         -0.22528737 -0.168441268 -0.034178518 -0.162200293
## HvyAlcoholConsump    -0.06488317 -0.056167322 -0.009391152 -0.028663382
## AnyHealthcare         0.05882816 -0.041330743  0.088752999  0.008162259
## GenHlth               0.35557676  0.211886204  0.074763071  0.224151365
## MentHlth              0.08743711  0.032942930  0.070468055  0.075523810
## PhysHlth              0.20258590  0.105688914  0.049562115  0.101010215
## Sex                   0.01637975  0.005781638  0.224511262 -0.057620191
## Age                   0.37500670 -0.038694836  0.116498093  0.161249367
## Education            -0.19448405 -0.079893598 -0.079338228 -0.101153950
## Income               -0.26234141 -0.187270089 -0.034880281 -0.163056610
##                      HeartDiseaseorAttack PhysActivity HvyAlcoholConsump
## HighBP                         0.22312155 -0.225287373     -6.488317e-02
## BMI                            0.01268682 -0.168441268     -5.616732e-02
## Smoker                         0.11986041 -0.034178518     -9.391152e-03
## Stroke                         0.27653374 -0.162200293     -2.866338e-02
## HeartDiseaseorAttack           1.00000000 -0.150980692     -4.093643e-02
## PhysActivity                  -0.15098069  1.000000000      7.996783e-02
## HvyAlcoholConsump             -0.04093643  0.079967829      1.000000e+00
## AnyHealthcare                  0.03395736  0.031795902      9.385514e-05
## GenHlth                        0.19615977 -0.379321077     -6.205083e-02
## MentHlth                       0.12917621 -0.040328200     -5.396165e-02
## PhysHlth                       0.17196970 -0.261733132      7.016984e-03
## Sex                            0.07220510 -0.009239187      2.051390e-02
## Age                            0.25375827 -0.156053093     -7.372583e-02
## Education                     -0.11321236  0.164071035      4.990137e-02
## Income                        -0.14008962  0.216307611      1.337161e-01
##                      AnyHealthcare     GenHlth    MentHlth     PhysHlth
## HighBP                5.882816e-02  0.35557676  0.08743711  0.202585896
## BMI                  -4.133074e-02  0.21188620  0.03294293  0.105688914
## Smoker                8.875300e-02  0.07476307  0.07046806  0.049562115
## Stroke                8.162259e-03  0.22415136  0.07552381  0.101010215
## HeartDiseaseorAttack  3.395736e-02  0.19615977  0.12917621  0.171969705
## PhysActivity          3.179590e-02 -0.37932108 -0.04032820 -0.261733132
## HvyAlcoholConsump     9.385514e-05 -0.06205083 -0.05396165  0.007016984
## AnyHealthcare         1.000000e+00  0.01257727 -0.06726467  0.031280608
## GenHlth               1.257727e-02  1.00000000  0.33041478  0.584650724
## MentHlth             -6.726467e-02  0.33041478  1.00000000  0.338184198
## PhysHlth              3.128061e-02  0.58465072  0.33818420  1.000000000
## Sex                   3.786612e-02 -0.08690804 -0.09924688 -0.019238921
## Age                   1.635280e-01  0.13828098 -0.07820728  0.072200137
## Education             6.300604e-02 -0.33101626 -0.18108729 -0.218929319
## Income                6.090343e-02 -0.37372824 -0.21009823 -0.238328433
##                               Sex         Age   Education      Income
## HighBP                0.016379754  0.37500670 -0.19448405 -0.26234141
## BMI                   0.005781638 -0.03869484 -0.07989360 -0.18727009
## Smoker                0.224511262  0.11649809 -0.07933823 -0.03488028
## Stroke               -0.057620191  0.16124937 -0.10115395 -0.16305661
## HeartDiseaseorAttack  0.072205097  0.25375827 -0.11321236 -0.14008962
## PhysActivity         -0.009239187 -0.15605309  0.16407104  0.21630761
## HvyAlcoholConsump     0.020513896 -0.07372583  0.04990137  0.13371609
## AnyHealthcare         0.037866116  0.16352805  0.06300604  0.06090343
## GenHlth              -0.086908042  0.13828098 -0.33101626 -0.37372824
## MentHlth             -0.099246879 -0.07820728 -0.18108729 -0.21009823
## PhysHlth             -0.019238921  0.07220014 -0.21892932 -0.23832843
## Sex                   1.000000000  0.04056516  0.13689969  0.26633655
## Age                   0.040565156  1.00000000 -0.13640669 -0.18016706
## Education             0.136899685 -0.13640669  1.00000000  0.50844063
## Income                0.266336551 -0.18016706  0.50844063  1.00000000
plot(corrm.emp)

Diabetes_pca <- prcomp(Diabetes[-1], scale=TRUE)
summary(Diabetes_pca)
## Importance of components:
##                           PC1    PC2     PC3     PC4     PC5     PC6     PC7
## Standard deviation     1.7647 1.2541 1.11464 1.07548 1.01888 1.00936 0.98163
## Proportion of Variance 0.2076 0.1048 0.08283 0.07711 0.06921 0.06792 0.06424
## Cumulative Proportion  0.2076 0.3125 0.39528 0.47239 0.54160 0.60952 0.67376
##                            PC8     PC9    PC10    PC11    PC12   PC13    PC14
## Standard deviation     0.91875 0.90107 0.83554 0.80717 0.75555 0.7204 0.66399
## Proportion of Variance 0.05627 0.05413 0.04654 0.04344 0.03806 0.0346 0.02939
## Cumulative Proportion  0.73003 0.78416 0.83071 0.87414 0.91220 0.9468 0.97619
##                           PC15
## Standard deviation     0.59765
## Proportion of Variance 0.02381
## Cumulative Proportion  1.00000
plot(Diabetes_pca)

# A table containing eigenvalues and %'s accounted, follows. Eigenvalues are the sdev^2
(eigen_Diabetes <- round(Diabetes_pca$sdev^2,3))
##  [1] 3.114 1.573 1.242 1.157 1.038 1.019 0.964 0.844 0.812 0.698 0.652 0.571
## [13] 0.519 0.441 0.357
round(fit.pc$values, 3)
##  [1] 3.114 1.573 1.242 1.157 1.038 1.019 0.964 0.844 0.812 0.698 0.652 0.571
## [13] 0.519 0.441 0.357
names(eigen_Diabetes) <- paste("PC",1:9,sep="")
eigen_Diabetes
##   PC1   PC2   PC3   PC4   PC5   PC6   PC7   PC8   PC9  <NA>  <NA>  <NA>  <NA> 
## 3.114 1.573 1.242 1.157 1.038 1.019 0.964 0.844 0.812 0.698 0.652 0.571 0.519 
##  <NA>  <NA> 
## 0.441 0.357
sumlambdas <- sum(eigen_Diabetes)
sumlambdas
## [1] 15.001
propvar <- round(eigen_Diabetes/sumlambdas,2)
propvar
##  PC1  PC2  PC3  PC4  PC5  PC6  PC7  PC8  PC9 <NA> <NA> <NA> <NA> <NA> <NA> 
## 0.21 0.10 0.08 0.08 0.07 0.07 0.06 0.06 0.05 0.05 0.04 0.04 0.03 0.03 0.02
cumvar_Diabetes <- cumsum(propvar)
cumvar_Diabetes
##  PC1  PC2  PC3  PC4  PC5  PC6  PC7  PC8  PC9 <NA> <NA> <NA> <NA> <NA> <NA> 
## 0.21 0.31 0.39 0.47 0.54 0.61 0.67 0.73 0.78 0.83 0.87 0.91 0.94 0.97 0.99
matlambdas <- rbind(eigen_Diabetes,propvar,cumvar_Diabetes)
matlambdas
##                   PC1   PC2   PC3   PC4   PC5   PC6   PC7   PC8   PC9  <NA>
## eigen_Diabetes  3.114 1.573 1.242 1.157 1.038 1.019 0.964 0.844 0.812 0.698
## propvar         0.210 0.100 0.080 0.080 0.070 0.070 0.060 0.060 0.050 0.050
## cumvar_Diabetes 0.210 0.310 0.390 0.470 0.540 0.610 0.670 0.730 0.780 0.830
##                  <NA>  <NA>  <NA>  <NA>  <NA>
## eigen_Diabetes  0.652 0.571 0.519 0.441 0.357
## propvar         0.040 0.040 0.030 0.030 0.020
## cumvar_Diabetes 0.870 0.910 0.940 0.970 0.990
rownames(matlambdas) <- c("Eigenvalues","Prop. variance","Cum. prop. variance")
rownames(matlambdas)
## [1] "Eigenvalues"         "Prop. variance"      "Cum. prop. variance"
eigvec.emp <- Diabetes_pca$rotation
print(Diabetes_pca)
## Standard deviations (1, .., p=15):
##  [1] 1.7646922 1.2540627 1.1146446 1.0754771 1.0188832 1.0093606 0.9816263
##  [8] 0.9187490 0.9010750 0.8355400 0.8071737 0.7555477 0.7203929 0.6639907
## [15] 0.5976521
## 
## Rotation (n x k) = (15 x 15):
##                               PC1          PC2         PC3         PC4
## HighBP                0.326149229  0.246399261 -0.13303779 -0.26080449
## BMI                   0.167626995 -0.101839483  0.04120408 -0.66482697
## Smoker                0.093333990  0.350190124  0.28938167  0.05229281
## Stroke                0.211842691  0.162241675 -0.13665199  0.37073969
## HeartDiseaseorAttack  0.239087419  0.316667386  0.01177870  0.29208452
## PhysActivity         -0.291085313 -0.057618287 -0.03361984  0.27464859
## HvyAlcoholConsump    -0.090283959 -0.002662284  0.24257599  0.16136839
## AnyHealthcare         0.005143826  0.329295696 -0.02590574  0.07389193
## GenHlth               0.440430257 -0.097915017  0.22701840 -0.03692534
## MentHlth              0.233893964 -0.265986788  0.38061240  0.30151528
## PhysHlth              0.349300603 -0.111540622  0.41669288  0.06206433
## Sex                  -0.079777876  0.433715325  0.43256510 -0.22683585
## Age                   0.212579671  0.450806495 -0.35680625  0.04305580
## Education            -0.320398143  0.186484273  0.19327836 -0.08877913
## Income               -0.370084452  0.221427867  0.30917390 -0.01554688
##                               PC5         PC6         PC7           PC8
## HighBP               -0.008269941 -0.10906402 -0.09655581 -0.2698343702
## BMI                  -0.071433125  0.03572986 -0.05743480 -0.5231458782
## Smoker                0.550101274  0.17628365 -0.18612003  0.0120565846
## Stroke               -0.401701344  0.27739720  0.01466837 -0.1542399862
## HeartDiseaseorAttack -0.195132878  0.27008153  0.01483961 -0.3002428568
## PhysActivity          0.342307829 -0.09372920 -0.03906327 -0.5642317955
## HvyAlcoholConsump    -0.283092530 -0.37582616 -0.79934851 -0.0963949484
## AnyHealthcare         0.129072603 -0.70109968  0.33836227 -0.0857513055
## GenHlth              -0.114296874 -0.13677232  0.07770650  0.1028945455
## MentHlth              0.182407069  0.04554311  0.21335985 -0.3036853105
## PhysHlth             -0.112870068 -0.23770044  0.12456154  0.1647823988
## Sex                   0.096176135  0.25417875 -0.06652457  0.1513946402
## Age                   0.034914264 -0.14596999 -0.05282487  0.0993500168
## Education            -0.380645175 -0.02380269  0.32104021 -0.2041259867
## Income               -0.253703680 -0.02291390  0.14131551 -0.0006541796
##                              PC9         PC10         PC11         PC12
## HighBP               -0.32944063 -0.357349004  0.110808684  0.136294368
## BMI                   0.26013875  0.145731702 -0.029611678 -0.050232966
## Smoker                0.37261357 -0.352592375 -0.321088908 -0.213702039
## Stroke                0.50830550 -0.209563654  0.432075377  0.040035634
## HeartDiseaseorAttack -0.17340541  0.540775940 -0.435655890 -0.140156256
## PhysActivity         -0.19189638  0.027185580  0.410766222 -0.408359237
## HvyAlcoholConsump     0.02699488 -0.003146716 -0.081614107  0.133060848
## AnyHealthcare         0.37486619  0.259043096  0.004676320  0.197339594
## GenHlth               0.02231245 -0.095542371  0.124716063 -0.211497810
## MentHlth             -0.19103418 -0.154036780 -0.068708928  0.590671465
## PhysHlth             -0.14370660  0.044890882  0.116925618 -0.480698849
## Sex                  -0.11572066  0.317028455  0.490189988  0.223919970
## Age                  -0.36258045 -0.171491658  0.025402519 -0.006981887
## Education            -0.06052129 -0.372124247 -0.238667548 -0.115815696
## Income               -0.11077971 -0.138820034 -0.003060682 -0.016800980
##                              PC13        PC14        PC15
## HighBP               -0.585988402 -0.08847753 -0.18655896
## BMI                   0.316706307  0.19736718 -0.05395146
## Smoker               -0.006698845  0.03241176 -0.02610930
## Stroke                0.043461280  0.03579847 -0.12886628
## HeartDiseaseorAttack -0.143795436  0.00484345  0.05542146
## PhysActivity          0.013493987 -0.01277978  0.12707956
## HvyAlcoholConsump     0.073539002 -0.07393938  0.03663940
## AnyHealthcare        -0.086324735 -0.03441972 -0.01159808
## GenHlth              -0.102959393  0.06712893  0.78110078
## MentHlth              0.215903965  0.06667656 -0.02789805
## PhysHlth              0.117119501 -0.04146314 -0.54157819
## Sex                   0.065262372 -0.23117564  0.06108071
## Age                   0.622968346  0.18299730  0.06392318
## Education             0.179008537 -0.52007680  0.11000067
## Income               -0.159175565  0.75892425 -0.01334982
# Taking the first four PCs to generate linear combinations for all the variables with four factors
pcafactors.emp <- eigvec.emp[,1:4]
pcafactors.emp
##                               PC1          PC2         PC3         PC4
## HighBP                0.326149229  0.246399261 -0.13303779 -0.26080449
## BMI                   0.167626995 -0.101839483  0.04120408 -0.66482697
## Smoker                0.093333990  0.350190124  0.28938167  0.05229281
## Stroke                0.211842691  0.162241675 -0.13665199  0.37073969
## HeartDiseaseorAttack  0.239087419  0.316667386  0.01177870  0.29208452
## PhysActivity         -0.291085313 -0.057618287 -0.03361984  0.27464859
## HvyAlcoholConsump    -0.090283959 -0.002662284  0.24257599  0.16136839
## AnyHealthcare         0.005143826  0.329295696 -0.02590574  0.07389193
## GenHlth               0.440430257 -0.097915017  0.22701840 -0.03692534
## MentHlth              0.233893964 -0.265986788  0.38061240  0.30151528
## PhysHlth              0.349300603 -0.111540622  0.41669288  0.06206433
## Sex                  -0.079777876  0.433715325  0.43256510 -0.22683585
## Age                   0.212579671  0.450806495 -0.35680625  0.04305580
## Education            -0.320398143  0.186484273  0.19327836 -0.08877913
## Income               -0.370084452  0.221427867  0.30917390 -0.01554688
# Multiplying each column of the eigenvector’s matrix by the square-root of the corresponding eigenvalue in order to get the factor loadings
unrot.fact.emp <- sweep(pcafactors.emp,MARGIN=2,Diabetes_pca$sdev[1:4],`*`)
unrot.fact.emp
##                              PC1          PC2         PC3         PC4
## HighBP                0.57555301  0.309000122 -0.14828986 -0.28048927
## BMI                   0.29581006 -0.127713097  0.04592791 -0.71500621
## Smoker                0.16470577  0.439160370  0.32255772  0.05623972
## Stroke                0.37383715  0.203461232 -0.15231841  0.39872206
## HeartDiseaseorAttack  0.42191571  0.397120756  0.01312907  0.31413022
## PhysActivity         -0.51367599 -0.072256945 -0.03747418  0.29537828
## HvyAlcoholConsump    -0.15932340 -0.003338671  0.27038602  0.17354802
## AnyHealthcare         0.00907727  0.412957449 -0.02887570  0.07946908
## GenHlth               0.77722386 -0.122791570  0.25304484 -0.03971236
## MentHlth              0.41275086 -0.333564109  0.42424757  0.32427278
## PhysHlth              0.61640806 -0.139878933  0.46446448  0.06674877
## Sex                  -0.14078340  0.543906209  0.48215637 -0.24395677
## Age                   0.37513770  0.565339609 -0.39771217  0.04630553
## Education            -0.56540412  0.233862970  0.21543668 -0.09547993
## Income               -0.65308516  0.277684427  0.34461903 -0.01672031
# Computing communalities
communalities.emp <- rowSums(unrot.fact.emp^2)
communalities.emp
##               HighBP                  BMI               Smoker 
##            0.5274065            0.6171575            0.3271962 
##               Stroke HeartDiseaseorAttack         PhysActivity 
##            0.3633309            0.4345679            0.3577367 
##    HvyAlcoholConsump        AnyHealthcare              GenHlth 
##            0.1286226            0.1777654            0.6847635 
##             MentHlth             PhysHlth                  Sex 
##            0.5667671            0.6197077            0.6076436 
##                  Age            Education               Income 
##            0.6206563            0.4299031            0.6226707
# Performing the varimax rotation. The default in the varimax function is norm=TRUE thus, Kaiser normalization is carried out
rot.fact.emp <- varimax(unrot.fact.emp)
#View(unrot.fact.emp)
rot.fact.emp
## $loadings
## 
## Loadings:
##                      PC1    PC2    PC3    PC4   
## HighBP                0.105  0.369        -0.617
## BMI                         -0.326        -0.709
## Smoker                0.189  0.316  0.435       
## Stroke                0.187  0.541 -0.183       
## HeartDiseaseorAttack  0.240  0.610              
## PhysActivity         -0.255 -0.115         0.529
## HvyAlcoholConsump     0.117         0.185  0.277
## AnyHealthcare        -0.122  0.343  0.213       
## GenHlth               0.693  0.153 -0.105 -0.412
## MentHlth              0.731        -0.109  0.142
## PhysHlth              0.758               -0.196
## Sex                                 0.770       
## Age                  -0.178  0.695        -0.323
## Education            -0.328 -0.184  0.473  0.254
## Income               -0.295 -0.188  0.594  0.384
## 
##                  PC1   PC2   PC3   PC4
## SS loadings    2.054 1.726 1.505 1.800
## Proportion Var 0.137 0.115 0.100 0.120
## Cumulative Var 0.137 0.252 0.352 0.472
## 
## $rotmat
##            [,1]       [,2]       [,3]       [,4]
## [1,]  0.6474651  0.4259030 -0.2753267 -0.5688505
## [2,] -0.3171977  0.7066350  0.6186930 -0.1314214
## [3,]  0.6392987 -0.2848127  0.6912586  0.1798346
## [4,]  0.2673422  0.4880115 -0.2521424  0.7917052
# The print method of varimax omits loadings less than abs(0.1). In order to display all the loadings, it is necessary to ask explicitly the contents of the object $loadings
fact.load.emp <- rot.fact.emp$loadings[1:9,1:4]
fact.load.emp
##                              PC1         PC2          PC3          PC4
## HighBP                0.10484822  0.36883291  0.000927694 -0.616745276
## BMI                   0.07024728 -0.32627229  0.051571859 -0.709302140
## Smoker                0.18858657  0.31605187  0.435147908 -0.048875693
## Stroke                0.18672735  0.54095439 -0.182873475  0.048881594
## HeartDiseaseorAttack  0.23958357  0.60987445  0.059401176 -0.041137523
## PhysActivity         -0.25465763 -0.11501430 -0.003657891  0.528814294
## HvyAlcoholConsump     0.11715682 -0.06253148  0.184948212  0.277093596
## AnyHealthcare        -0.12232667  0.34268224  0.212996554 -0.001711815
## GenHlth               0.69332893  0.15280265 -0.105028174 -0.411920974
# Computing the rotated factor scores for the 30 European Countries. Notice that signs are reversed for factors F2 (PC2), F3 (PC3) and F4 (PC4)
scale.emp <- scale(Diabetes[-1])
scale.emp
##            HighBP        BMI     Smoker    Stroke HeartDiseaseorAttack
##   [1,]  0.8068523 -0.5541125 -0.9463298 -0.314516           -0.4622584
##   [2,]  0.8068523 -0.5541125  1.0545964  3.173117           -0.4622584
##   [3,] -1.2369005 -0.5541125 -0.9463298 -0.314516           -0.4622584
##   [4,]  0.8068523 -0.2674332  1.0545964 -0.314516           -0.4622584
##   [5,] -1.2369005 -0.1240936  1.0545964 -0.314516           -0.4622584
##   [6,] -1.2369005 -1.7008294 -0.9463298 -0.314516           -0.4622584
##   [7,] -1.2369005 -0.5541125  1.0545964 -0.314516           -0.4622584
##   [8,] -1.2369005  0.1625856  1.0545964 -0.314516           -0.4622584
##   [9,] -1.2369005  0.3059252 -0.9463298 -0.314516           -0.4622584
##  [10,] -1.2369005 -0.4107729  1.0545964 -0.314516           -0.4622584
##  [11,]  0.8068523 -0.8407917  1.0545964 -0.314516            2.1589569
##  [12,] -1.2369005 -1.2708106 -0.9463298 -0.314516           -0.4622584
##  [13,]  0.8068523 -0.4107729 -0.9463298 -0.314516           -0.4622584
##  [14,]  0.8068523  4.0327553 -0.9463298 -0.314516           -0.4622584
##  [15,] -1.2369005 -0.1240936  1.0545964 -0.314516           -0.4622584
##  [16,] -1.2369005 -1.7008294  1.0545964 -0.314516           -0.4622584
##  [17,] -1.2369005  0.0192460 -0.9463298 -0.314516           -0.4622584
##  [18,] -1.2369005  0.0192460  1.0545964 -0.314516           -0.4622584
##  [19,] -1.2369005 -1.4141502 -0.9463298 -0.314516           -0.4622584
##  [20,]  0.8068523 -0.5541125 -0.9463298 -0.314516           -0.4622584
##  [21,] -1.2369005 -1.1274709 -0.9463298 -0.314516           -0.4622584
##  [22,]  0.8068523 -0.1240936  1.0545964 -0.314516           -0.4622584
##  [23,] -1.2369005 -1.1274709 -0.9463298 -0.314516           -0.4622584
##  [24,] -1.2369005  0.0192460 -0.9463298 -0.314516           -0.4622584
##  [25,] -1.2369005 -0.4107729 -0.9463298 -0.314516           -0.4622584
##  [26,] -1.2369005 -0.2674332 -0.9463298 -0.314516           -0.4622584
##  [27,]  0.8068523 -1.4141502  1.0545964 -0.314516           -0.4622584
##  [28,]  0.8068523  0.3059252 -0.9463298 -0.314516           -0.4622584
##  [29,] -1.2369005  1.1659630 -0.9463298 -0.314516           -0.4622584
##  [30,] -1.2369005  1.4526422  1.0545964 -0.314516           -0.4622584
##  [31,]  0.8068523 -0.8407917  1.0545964 -0.314516           -0.4622584
##  [32,] -1.2369005 -0.8407917  1.0545964 -0.314516           -0.4622584
##  [33,] -1.2369005 -1.4141502 -0.9463298 -0.314516           -0.4622584
##  [34,] -1.2369005 -1.4141502 -0.9463298 -0.314516           -0.4622584
##  [35,]  0.8068523 -0.1240936  1.0545964 -0.314516            2.1589569
##  [36,] -1.2369005 -0.8407917 -0.9463298 -0.314516           -0.4622584
##  [37,] -1.2369005 -0.6974521 -0.9463298 -0.314516           -0.4622584
##  [38,] -1.2369005  0.8792837  1.0545964 -0.314516           -0.4622584
##  [39,] -1.2369005  0.1625856  1.0545964 -0.314516           -0.4622584
##  [40,] -1.2369005 -0.4107729  1.0545964 -0.314516           -0.4622584
##  [41,] -1.2369005 -0.5541125 -0.9463298 -0.314516           -0.4622584
##  [42,] -1.2369005 -0.4107729 -0.9463298 -0.314516           -0.4622584
##  [43,]  0.8068523  2.4560195  1.0545964 -0.314516           -0.4622584
##  [44,]  0.8068523  1.1659630  1.0545964 -0.314516           -0.4622584
##  [45,]  0.8068523 -0.2674332 -0.9463298 -0.314516           -0.4622584
##  [46,] -1.2369005 -1.4141502  1.0545964 -0.314516           -0.4622584
##  [47,] -1.2369005 -1.5574898  1.0545964 -0.314516           -0.4622584
##  [48,] -1.2369005 -0.6974521 -0.9463298 -0.314516           -0.4622584
##  [49,] -1.2369005 -0.5541125 -0.9463298 -0.314516           -0.4622584
##  [50,]  0.8068523 -1.1274709 -0.9463298 -0.314516           -0.4622584
##  [51,]  0.8068523  0.1625856 -0.9463298 -0.314516           -0.4622584
##  [52,] -1.2369005  0.0192460  1.0545964 -0.314516           -0.4622584
##  [53,]  0.8068523  1.0226233  1.0545964 -0.314516            2.1589569
##  [54,] -1.2369005  0.1625856 -0.9463298 -0.314516           -0.4622584
##  [55,] -1.2369005 -1.1274709 -0.9463298 -0.314516           -0.4622584
##  [56,] -1.2369005 -0.5541125 -0.9463298 -0.314516           -0.4622584
##  [57,] -1.2369005  1.5959818 -0.9463298 -0.314516           -0.4622584
##  [58,]  0.8068523 -1.1274709  1.0545964 -0.314516           -0.4622584
##  [59,] -1.2369005 -0.9841313  1.0545964 -0.314516           -0.4622584
##  [60,]  0.8068523  0.5926045  1.0545964 -0.314516           -0.4622584
##  [61,] -1.2369005 -0.4107729  1.0545964 -0.314516           -0.4622584
##  [62,]  0.8068523  1.1659630 -0.9463298 -0.314516           -0.4622584
##  [63,]  0.8068523 -1.5574898  1.0545964 -0.314516            2.1589569
##  [64,] -1.2369005 -0.1240936 -0.9463298 -0.314516           -0.4622584
##  [65,] -1.2369005 -0.4107729 -0.9463298 -0.314516           -0.4622584
##  [66,] -1.2369005 -0.8407917  1.0545964  3.173117           -0.4622584
##  [67,]  0.8068523  0.8792837  1.0545964 -0.314516           -0.4622584
##  [68,]  0.8068523  0.7359441  1.0545964 -0.314516            2.1589569
##  [69,]  0.8068523  0.3059252 -0.9463298 -0.314516           -0.4622584
##  [70,] -1.2369005  1.7393214 -0.9463298 -0.314516           -0.4622584
##  [71,] -1.2369005 -0.8407917 -0.9463298 -0.314516           -0.4622584
##  [72,] -1.2369005 -0.6974521  1.0545964 -0.314516           -0.4622584
##  [73,]  0.8068523 -1.2708106  1.0545964 -0.314516           -0.4622584
##  [74,] -1.2369005 -0.9841313 -0.9463298 -0.314516           -0.4622584
##  [75,] -1.2369005 -0.5541125 -0.9463298 -0.314516           -0.4622584
##  [76,]  0.8068523  0.1625856  1.0545964 -0.314516           -0.4622584
##  [77,] -1.2369005 -1.4141502  1.0545964 -0.314516           -0.4622584
##  [78,] -1.2369005  1.0226233 -0.9463298 -0.314516           -0.4622584
##  [79,] -1.2369005 -0.9841313  1.0545964 -0.314516           -0.4622584
##  [80,]  0.8068523  0.5926045  1.0545964 -0.314516           -0.4622584
##  [81,] -1.2369005 -1.8441690 -0.9463298 -0.314516           -0.4622584
##  [82,] -1.2369005  1.0226233  1.0545964 -0.314516           -0.4622584
##  [83,]  0.8068523  0.8792837 -0.9463298 -0.314516           -0.4622584
##  [84,] -1.2369005 -1.2708106 -0.9463298 -0.314516           -0.4622584
##  [85,]  0.8068523  1.4526422  1.0545964 -0.314516           -0.4622584
##  [86,] -1.2369005 -1.1274709 -0.9463298 -0.314516           -0.4622584
##  [87,] -1.2369005  0.4492649 -0.9463298 -0.314516           -0.4622584
##  [88,]  0.8068523 -0.5541125  1.0545964  3.173117            2.1589569
##  [89,]  0.8068523  0.0192460 -0.9463298 -0.314516           -0.4622584
##  [90,] -1.2369005  0.3059252  1.0545964 -0.314516           -0.4622584
##  [91,]  0.8068523  0.3059252  1.0545964 -0.314516           -0.4622584
##  [92,] -1.2369005 -0.9841313 -0.9463298 -0.314516           -0.4622584
##  [93,]  0.8068523  0.8792837  1.0545964 -0.314516            2.1589569
##  [94,] -1.2369005  0.0192460 -0.9463298 -0.314516           -0.4622584
##  [95,]  0.8068523 -0.8407917  1.0545964 -0.314516            2.1589569
##  [96,] -1.2369005 -1.1274709 -0.9463298 -0.314516           -0.4622584
##  [97,] -1.2369005 -1.2708106 -0.9463298 -0.314516           -0.4622584
##  [98,] -1.2369005  0.7359441 -0.9463298 -0.314516           -0.4622584
##  [99,] -1.2369005  0.1625856 -0.9463298 -0.314516           -0.4622584
## [100,] -1.2369005  2.4560195 -0.9463298 -0.314516           -0.4622584
## [101,]  0.8068523 -0.6974521 -0.9463298 -0.314516           -0.4622584
## [102,] -1.2369005  0.1625856 -0.9463298 -0.314516            2.1589569
## [103,] -1.2369005 -0.2674332 -0.9463298 -0.314516           -0.4622584
## [104,]  0.8068523 -0.2674332  1.0545964 -0.314516            2.1589569
## [105,] -1.2369005  1.1659630 -0.9463298 -0.314516           -0.4622584
## [106,]  0.8068523 -0.4107729 -0.9463298 -0.314516           -0.4622584
## [107,] -1.2369005 -1.4141502  1.0545964 -0.314516           -0.4622584
## [108,] -1.2369005  0.1625856  1.0545964 -0.314516           -0.4622584
## [109,]  0.8068523 -0.2674332  1.0545964 -0.314516           -0.4622584
## [110,] -1.2369005  2.0260007  1.0545964 -0.314516           -0.4622584
## [111,] -1.2369005 -0.4107729  1.0545964 -0.314516           -0.4622584
## [112,] -1.2369005 -0.5541125  1.0545964 -0.314516           -0.4622584
## [113,]  0.8068523  1.4526422  1.0545964 -0.314516           -0.4622584
## [114,]  0.8068523 -0.4107729  1.0545964 -0.314516           -0.4622584
## [115,] -1.2369005 -1.1274709 -0.9463298 -0.314516           -0.4622584
## [116,] -1.2369005 -1.2708106 -0.9463298 -0.314516           -0.4622584
## [117,] -1.2369005 -1.4141502  1.0545964 -0.314516           -0.4622584
## [118,]  0.8068523 -0.4107729  1.0545964 -0.314516           -0.4622584
## [119,] -1.2369005 -0.2674332 -0.9463298 -0.314516           -0.4622584
## [120,] -1.2369005  0.1625856  1.0545964 -0.314516           -0.4622584
## [121,] -1.2369005 -1.1274709  1.0545964 -0.314516           -0.4622584
## [122,] -1.2369005  0.8792837 -0.9463298 -0.314516           -0.4622584
## [123,] -1.2369005 -0.8407917 -0.9463298 -0.314516           -0.4622584
## [124,] -1.2369005 -0.2674332 -0.9463298 -0.314516           -0.4622584
## [125,] -1.2369005 -0.5541125 -0.9463298 -0.314516           -0.4622584
## [126,] -1.2369005  0.0192460  1.0545964 -0.314516           -0.4622584
## [127,]  0.8068523 -0.1240936 -0.9463298 -0.314516            2.1589569
## [128,]  0.8068523 -0.8407917 -0.9463298 -0.314516           -0.4622584
## [129,] -1.2369005 -0.9841313 -0.9463298 -0.314516           -0.4622584
## [130,] -1.2369005 -0.4107729  1.0545964 -0.314516           -0.4622584
## [131,]  0.8068523 -0.4107729  1.0545964 -0.314516           -0.4622584
## [132,] -1.2369005  0.0192460 -0.9463298 -0.314516           -0.4622584
## [133,]  0.8068523 -0.9841313  1.0545964 -0.314516           -0.4622584
## [134,]  0.8068523  0.8792837  1.0545964 -0.314516           -0.4622584
## [135,] -1.2369005 -1.2708106 -0.9463298 -0.314516           -0.4622584
## [136,]  0.8068523 -0.1240936  1.0545964  3.173117           -0.4622584
## [137,] -1.2369005 -0.6974521  1.0545964 -0.314516           -0.4622584
## [138,] -1.2369005 -0.1240936  1.0545964 -0.314516           -0.4622584
## [139,] -1.2369005 -0.8407917  1.0545964 -0.314516           -0.4622584
## [140,]  0.8068523 -0.4107729  1.0545964 -0.314516           -0.4622584
## [141,] -1.2369005 -1.4141502 -0.9463298 -0.314516            2.1589569
## [142,]  0.8068523  1.0226233  1.0545964 -0.314516           -0.4622584
## [143,]  0.8068523 -0.8407917  1.0545964 -0.314516           -0.4622584
## [144,] -1.2369005 -0.6974521  1.0545964 -0.314516           -0.4622584
## [145,] -1.2369005 -1.1274709 -0.9463298 -0.314516           -0.4622584
## [146,] -1.2369005 -0.9841313 -0.9463298 -0.314516           -0.4622584
## [147,]  0.8068523 -0.4107729 -0.9463298 -0.314516           -0.4622584
## [148,]  0.8068523 -0.5541125  1.0545964 -0.314516           -0.4622584
## [149,]  0.8068523  0.1625856  1.0545964 -0.314516            2.1589569
## [150,] -1.2369005 -1.1274709 -0.9463298 -0.314516           -0.4622584
## [151,]  0.8068523 -0.9841313  1.0545964 -0.314516            2.1589569
## [152,] -1.2369005 -0.6974521  1.0545964 -0.314516            2.1589569
## [153,]  0.8068523 -1.1274709 -0.9463298 -0.314516           -0.4622584
## [154,] -1.2369005 -0.1240936 -0.9463298 -0.314516           -0.4622584
## [155,]  0.8068523 -0.2674332  1.0545964 -0.314516           -0.4622584
## [156,] -1.2369005  0.1625856 -0.9463298 -0.314516           -0.4622584
## [157,]  0.8068523 -0.5541125  1.0545964 -0.314516           -0.4622584
## [158,]  0.8068523 -0.2674332  1.0545964 -0.314516           -0.4622584
## [159,] -1.2369005 -0.4107729 -0.9463298 -0.314516           -0.4622584
## [160,] -1.2369005 -0.2674332  1.0545964 -0.314516           -0.4622584
## [161,] -1.2369005 -0.5541125 -0.9463298 -0.314516           -0.4622584
## [162,]  0.8068523 -0.8407917 -0.9463298 -0.314516           -0.4622584
## [163,] -1.2369005 -0.8407917 -0.9463298 -0.314516           -0.4622584
## [164,]  0.8068523 -0.1240936 -0.9463298 -0.314516           -0.4622584
## [165,] -1.2369005  0.1625856 -0.9463298 -0.314516           -0.4622584
## [166,] -1.2369005  0.7359441 -0.9463298 -0.314516           -0.4622584
## [167,] -1.2369005 -0.8407917 -0.9463298 -0.314516           -0.4622584
## [168,] -1.2369005 -0.5541125 -0.9463298 -0.314516           -0.4622584
## [169,] -1.2369005 -0.5541125 -0.9463298 -0.314516            2.1589569
## [170,] -1.2369005 -0.4107729 -0.9463298 -0.314516           -0.4622584
## [171,]  0.8068523 -0.4107729  1.0545964 -0.314516           -0.4622584
## [172,]  0.8068523  0.3059252 -0.9463298 -0.314516           -0.4622584
## [173,]  0.8068523  0.1625856 -0.9463298 -0.314516           -0.4622584
## [174,] -1.2369005 -0.8407917 -0.9463298 -0.314516           -0.4622584
## [175,]  0.8068523  0.5926045  1.0545964 -0.314516           -0.4622584
## [176,] -1.2369005  0.1625856 -0.9463298 -0.314516           -0.4622584
## [177,] -1.2369005  0.8792837  1.0545964 -0.314516           -0.4622584
## [178,]  0.8068523  2.4560195 -0.9463298 -0.314516           -0.4622584
## [179,]  0.8068523 -0.4107729 -0.9463298 -0.314516           -0.4622584
## [180,] -1.2369005  0.1625856 -0.9463298 -0.314516           -0.4622584
## [181,] -1.2369005 -2.1308483  1.0545964  3.173117            2.1589569
## [182,] -1.2369005 -0.9841313  1.0545964 -0.314516           -0.4622584
## [183,]  0.8068523  0.3059252  1.0545964 -0.314516           -0.4622584
## [184,]  0.8068523 -0.1240936  1.0545964 -0.314516           -0.4622584
## [185,] -1.2369005 -1.2708106 -0.9463298 -0.314516           -0.4622584
## [186,] -1.2369005 -1.2708106  1.0545964  3.173117           -0.4622584
## [187,] -1.2369005  0.0192460 -0.9463298 -0.314516           -0.4622584
## [188,] -1.2369005  0.0192460 -0.9463298 -0.314516           -0.4622584
## [189,] -1.2369005 -0.6974521 -0.9463298 -0.314516           -0.4622584
## [190,] -1.2369005 -1.5574898  1.0545964 -0.314516           -0.4622584
## [191,] -1.2369005  0.4492649  1.0545964 -0.314516           -0.4622584
## [192,]  0.8068523 -0.2674332 -0.9463298  3.173117            2.1589569
## [193,]  0.8068523  3.1727176  1.0545964 -0.314516           -0.4622584
## [194,]  0.8068523  0.1625856  1.0545964 -0.314516           -0.4622584
## [195,] -1.2369005 -0.6974521 -0.9463298 -0.314516           -0.4622584
## [196,]  0.8068523 -0.6974521  1.0545964 -0.314516            2.1589569
## [197,]  0.8068523 -0.6974521  1.0545964 -0.314516            2.1589569
## [198,] -1.2369005  0.1625856  1.0545964 -0.314516           -0.4622584
## [199,]  0.8068523 -0.1240936  1.0545964 -0.314516           -0.4622584
## [200,] -1.2369005  5.6094911 -0.9463298 -0.314516           -0.4622584
## [201,] -1.2369005  0.0192460  1.0545964 -0.314516            2.1589569
## [202,] -1.2369005 -0.1240936 -0.9463298 -0.314516           -0.4622584
## [203,]  0.8068523 -1.1274709  1.0545964 -0.314516           -0.4622584
## [204,] -1.2369005 -1.1274709  1.0545964 -0.314516           -0.4622584
## [205,]  0.8068523  0.0192460 -0.9463298 -0.314516           -0.4622584
## [206,] -1.2369005 -1.2708106  1.0545964 -0.314516           -0.4622584
## [207,] -1.2369005  0.5926045 -0.9463298 -0.314516           -0.4622584
## [208,] -1.2369005 -0.6974521 -0.9463298 -0.314516           -0.4622584
## [209,]  0.8068523 -0.4107729 -0.9463298 -0.314516           -0.4622584
## [210,]  0.8068523 -0.4107729 -0.9463298 -0.314516           -0.4622584
## [211,] -1.2369005 -0.9841313  1.0545964 -0.314516           -0.4622584
## [212,]  0.8068523  0.8792837 -0.9463298 -0.314516           -0.4622584
## [213,]  0.8068523  1.1659630  1.0545964 -0.314516           -0.4622584
## [214,]  0.8068523 -0.2674332  1.0545964 -0.314516            2.1589569
## [215,]  0.8068523 -0.5541125 -0.9463298  3.173117            2.1589569
## [216,]  0.8068523 -1.1274709 -0.9463298 -0.314516           -0.4622584
## [217,]  0.8068523  0.0192460  1.0545964 -0.314516           -0.4622584
## [218,] -1.2369005 -0.8407917 -0.9463298 -0.314516           -0.4622584
## [219,] -1.2369005 -1.5574898 -0.9463298 -0.314516           -0.4622584
## [220,] -1.2369005 -0.2674332 -0.9463298 -0.314516           -0.4622584
## [221,] -1.2369005  0.1625856  1.0545964 -0.314516           -0.4622584
## [222,]  0.8068523  0.3059252 -0.9463298 -0.314516           -0.4622584
## [223,] -1.2369005 -0.8407917 -0.9463298 -0.314516           -0.4622584
## [224,]  0.8068523 -0.6974521 -0.9463298 -0.314516           -0.4622584
## [225,] -1.2369005  0.3059252 -0.9463298 -0.314516           -0.4622584
## [226,] -1.2369005 -1.2708106 -0.9463298 -0.314516           -0.4622584
## [227,] -1.2369005 -0.6974521 -0.9463298 -0.314516            2.1589569
## [228,] -1.2369005 -1.1274709  1.0545964 -0.314516           -0.4622584
## [229,]  0.8068523 -0.4107729  1.0545964 -0.314516           -0.4622584
## [230,] -1.2369005 -0.6974521 -0.9463298 -0.314516           -0.4622584
## [231,]  0.8068523 -0.2674332  1.0545964  3.173117            2.1589569
## [232,]  0.8068523 -0.4107729 -0.9463298 -0.314516            2.1589569
## [233,] -1.2369005  0.4492649  1.0545964 -0.314516           -0.4622584
## [234,] -1.2369005  0.5926045 -0.9463298 -0.314516           -0.4622584
## [235,]  0.8068523  1.0226233 -0.9463298 -0.314516           -0.4622584
## [236,] -1.2369005 -0.6974521  1.0545964 -0.314516           -0.4622584
## [237,] -1.2369005 -1.1274709 -0.9463298 -0.314516           -0.4622584
## [238,] -1.2369005 -0.9841313  1.0545964 -0.314516           -0.4622584
## [239,]  0.8068523 -0.2674332  1.0545964 -0.314516           -0.4622584
## [240,]  0.8068523  0.8792837  1.0545964 -0.314516            2.1589569
## [241,] -1.2369005 -1.5574898 -0.9463298 -0.314516           -0.4622584
## [242,]  0.8068523 -0.2674332 -0.9463298 -0.314516           -0.4622584
## [243,] -1.2369005 -0.1240936  1.0545964 -0.314516           -0.4622584
## [244,] -1.2369005 -0.9841313  1.0545964 -0.314516           -0.4622584
## [245,]  0.8068523  0.4492649  1.0545964 -0.314516           -0.4622584
## [246,] -1.2369005 -0.6974521  1.0545964 -0.314516           -0.4622584
## [247,]  0.8068523 -1.1274709 -0.9463298 -0.314516           -0.4622584
## [248,]  0.8068523 -0.2674332 -0.9463298 -0.314516            2.1589569
## [249,]  0.8068523  0.4492649  1.0545964 -0.314516           -0.4622584
## [250,]  0.8068523  0.0192460  1.0545964 -0.314516            2.1589569
## [251,] -1.2369005 -0.6974521  1.0545964 -0.314516           -0.4622584
## [252,]  0.8068523 -0.2674332 -0.9463298 -0.314516           -0.4622584
## [253,] -1.2369005 -0.9841313  1.0545964 -0.314516           -0.4622584
## [254,]  0.8068523 -0.4107729 -0.9463298 -0.314516           -0.4622584
## [255,]  0.8068523  1.0226233  1.0545964  3.173117            2.1589569
## [256,]  0.8068523 -0.2674332  1.0545964 -0.314516            2.1589569
## [257,]  0.8068523 -0.4107729  1.0545964 -0.314516           -0.4622584
## [258,]  0.8068523  0.5926045  1.0545964  3.173117           -0.4622584
## [259,]  0.8068523 -0.8407917  1.0545964 -0.314516           -0.4622584
## [260,]  0.8068523  0.1625856 -0.9463298 -0.314516           -0.4622584
## [261,]  0.8068523  0.4492649  1.0545964 -0.314516           -0.4622584
## [262,]  0.8068523 -0.4107729  1.0545964 -0.314516           -0.4622584
## [263,]  0.8068523 -0.4107729 -0.9463298 -0.314516           -0.4622584
## [264,]  0.8068523 -1.2708106  1.0545964 -0.314516           -0.4622584
## [265,]  0.8068523 -0.9841313  1.0545964  3.173117            2.1589569
## [266,]  0.8068523 -0.4107729 -0.9463298 -0.314516            2.1589569
## [267,]  0.8068523  0.7359441 -0.9463298 -0.314516           -0.4622584
## [268,] -1.2369005  0.3059252 -0.9463298 -0.314516            2.1589569
## [269,]  0.8068523  2.1693403 -0.9463298 -0.314516           -0.4622584
## [270,]  0.8068523  0.1625856  1.0545964 -0.314516            2.1589569
## [271,]  0.8068523 -0.1240936  1.0545964 -0.314516           -0.4622584
## [272,] -1.2369005 -0.1240936  1.0545964  3.173117           -0.4622584
## [273,]  0.8068523 -0.6974521  1.0545964 -0.314516            2.1589569
## [274,] -1.2369005  0.3059252 -0.9463298 -0.314516           -0.4622584
## [275,]  0.8068523  0.0192460 -0.9463298 -0.314516           -0.4622584
## [276,]  0.8068523  0.3059252  1.0545964 -0.314516           -0.4622584
## [277,] -1.2369005 -0.1240936 -0.9463298 -0.314516           -0.4622584
## [278,]  0.8068523 -0.8407917  1.0545964 -0.314516           -0.4622584
## [279,]  0.8068523 -0.2674332 -0.9463298 -0.314516           -0.4622584
## [280,]  0.8068523 -0.1240936  1.0545964 -0.314516           -0.4622584
## [281,]  0.8068523 -0.1240936 -0.9463298 -0.314516           -0.4622584
## [282,]  0.8068523 -0.5541125 -0.9463298 -0.314516           -0.4622584
## [283,]  0.8068523  0.4492649 -0.9463298 -0.314516           -0.4622584
## [284,]  0.8068523  2.4560195  1.0545964 -0.314516           -0.4622584
## [285,]  0.8068523 -0.4107729 -0.9463298 -0.314516           -0.4622584
## [286,] -1.2369005  0.5926045  1.0545964 -0.314516           -0.4622584
## [287,]  0.8068523  1.4526422 -0.9463298 -0.314516           -0.4622584
## [288,]  0.8068523  0.5926045 -0.9463298 -0.314516           -0.4622584
## [289,]  0.8068523 -0.1240936  1.0545964 -0.314516           -0.4622584
## [290,]  0.8068523 -0.2674332 -0.9463298 -0.314516            2.1589569
## [291,]  0.8068523  0.3059252  1.0545964 -0.314516           -0.4622584
## [292,]  0.8068523  1.0226233 -0.9463298 -0.314516            2.1589569
## [293,]  0.8068523  0.4492649 -0.9463298 -0.314516           -0.4622584
## [294,]  0.8068523 -0.1240936  1.0545964  3.173117            2.1589569
## [295,]  0.8068523  3.6027365 -0.9463298 -0.314516           -0.4622584
## [296,]  0.8068523  0.1625856  1.0545964 -0.314516           -0.4622584
## [297,]  0.8068523 -0.2674332  1.0545964  3.173117           -0.4622584
## [298,]  0.8068523  0.0192460 -0.9463298 -0.314516           -0.4622584
## [299,]  0.8068523  1.1659630  1.0545964 -0.314516           -0.4622584
## [300,]  0.8068523 -0.8407917  1.0545964 -0.314516           -0.4622584
## [301,]  0.8068523  0.3059252 -0.9463298 -0.314516           -0.4622584
## [302,] -1.2369005  0.5926045  1.0545964 -0.314516           -0.4622584
## [303,]  0.8068523 -0.5541125  1.0545964 -0.314516            2.1589569
## [304,]  0.8068523 -0.9841313 -0.9463298 -0.314516           -0.4622584
## [305,] -1.2369005 -0.4107729 -0.9463298  3.173117           -0.4622584
## [306,] -1.2369005 -0.2674332  1.0545964 -0.314516           -0.4622584
## [307,]  0.8068523 -1.9875087 -0.9463298 -0.314516           -0.4622584
## [308,]  0.8068523  0.1625856  1.0545964  3.173117            2.1589569
## [309,]  0.8068523 -0.4107729 -0.9463298 -0.314516           -0.4622584
## [310,]  0.8068523  1.0226233 -0.9463298 -0.314516           -0.4622584
## [311,]  0.8068523 -0.5541125 -0.9463298 -0.314516           -0.4622584
## [312,]  0.8068523 -0.1240936  1.0545964 -0.314516           -0.4622584
## [313,] -1.2369005  0.0192460  1.0545964 -0.314516           -0.4622584
## [314,]  0.8068523 -1.2708106 -0.9463298  3.173117           -0.4622584
## [315,]  0.8068523 -0.6974521 -0.9463298 -0.314516           -0.4622584
## [316,] -1.2369005  0.0192460  1.0545964 -0.314516           -0.4622584
## [317,]  0.8068523  0.3059252 -0.9463298 -0.314516            2.1589569
## [318,]  0.8068523 -0.4107729  1.0545964 -0.314516            2.1589569
## [319,]  0.8068523  0.5926045 -0.9463298 -0.314516            2.1589569
## [320,]  0.8068523 -0.5541125  1.0545964  3.173117           -0.4622584
## [321,]  0.8068523 -0.9841313 -0.9463298  3.173117           -0.4622584
## [322,]  0.8068523  2.1693403 -0.9463298 -0.314516           -0.4622584
## [323,]  0.8068523  1.0226233  1.0545964 -0.314516           -0.4622584
## [324,]  0.8068523  0.1625856  1.0545964 -0.314516            2.1589569
## [325,]  0.8068523 -0.6974521  1.0545964 -0.314516           -0.4622584
## [326,] -1.2369005  1.8826610 -0.9463298 -0.314516           -0.4622584
## [327,]  0.8068523 -0.8407917 -0.9463298 -0.314516           -0.4622584
## [328,]  0.8068523  1.1659630  1.0545964  3.173117           -0.4622584
## [329,]  0.8068523  1.7393214 -0.9463298 -0.314516           -0.4622584
## [330,] -1.2369005 -0.5541125  1.0545964 -0.314516           -0.4622584
## [331,]  0.8068523  2.4560195  1.0545964 -0.314516            2.1589569
## [332,]  0.8068523 -0.6974521 -0.9463298  3.173117            2.1589569
## [333,]  0.8068523  0.1625856 -0.9463298 -0.314516           -0.4622584
## [334,]  0.8068523  2.0260007  1.0545964 -0.314516           -0.4622584
## [335,]  0.8068523  1.8826610 -0.9463298 -0.314516           -0.4622584
## [336,]  0.8068523  0.8792837 -0.9463298  3.173117           -0.4622584
## [337,] -1.2369005  0.0192460 -0.9463298 -0.314516           -0.4622584
## [338,] -1.2369005 -1.1274709 -0.9463298 -0.314516           -0.4622584
## [339,]  0.8068523  0.0192460 -0.9463298 -0.314516           -0.4622584
## [340,]  0.8068523  0.5926045  1.0545964  3.173117           -0.4622584
## [341,]  0.8068523  1.4526422 -0.9463298 -0.314516           -0.4622584
## [342,]  0.8068523  0.3059252 -0.9463298 -0.314516           -0.4622584
## [343,]  0.8068523 -0.2674332 -0.9463298 -0.314516           -0.4622584
## [344,]  0.8068523  1.4526422 -0.9463298  3.173117           -0.4622584
## [345,]  0.8068523  0.5926045  1.0545964 -0.314516           -0.4622584
## [346,]  0.8068523  0.0192460 -0.9463298 -0.314516            2.1589569
## [347,]  0.8068523  0.7359441  1.0545964 -0.314516           -0.4622584
## [348,]  0.8068523  2.7426988 -0.9463298  3.173117            2.1589569
## [349,]  0.8068523 -0.2674332 -0.9463298 -0.314516           -0.4622584
## [350,]  0.8068523 -0.9841313  1.0545964  3.173117           -0.4622584
## [351,]  0.8068523  0.7359441 -0.9463298  3.173117            2.1589569
## [352,]  0.8068523  1.8826610 -0.9463298 -0.314516           -0.4622584
## [353,]  0.8068523 -0.5541125 -0.9463298 -0.314516           -0.4622584
## [354,] -1.2369005 -0.6974521  1.0545964 -0.314516            2.1589569
## [355,] -1.2369005  1.3093026  1.0545964 -0.314516           -0.4622584
## [356,] -1.2369005  0.1625856  1.0545964 -0.314516           -0.4622584
## [357,]  0.8068523  0.8792837 -0.9463298 -0.314516           -0.4622584
## [358,]  0.8068523  0.4492649 -0.9463298  3.173117           -0.4622584
## [359,]  0.8068523 -0.8407917 -0.9463298 -0.314516           -0.4622584
## [360,]  0.8068523 -0.8407917 -0.9463298 -0.314516           -0.4622584
## [361,]  0.8068523  1.4526422  1.0545964 -0.314516           -0.4622584
## [362,] -1.2369005  1.7393214  1.0545964  3.173117           -0.4622584
## [363,]  0.8068523 -0.8407917  1.0545964 -0.314516           -0.4622584
## [364,]  0.8068523 -0.1240936  1.0545964 -0.314516            2.1589569
## [365,]  0.8068523  0.5926045  1.0545964 -0.314516            2.1589569
## [366,]  0.8068523  0.4492649 -0.9463298 -0.314516            2.1589569
## [367,]  0.8068523 -0.8407917 -0.9463298 -0.314516           -0.4622584
## [368,]  0.8068523  1.3093026 -0.9463298 -0.314516           -0.4622584
## [369,]  0.8068523  0.8792837  1.0545964 -0.314516            2.1589569
## [370,]  0.8068523 -0.8407917  1.0545964 -0.314516            2.1589569
## [371,]  0.8068523 -0.2674332 -0.9463298 -0.314516           -0.4622584
## [372,]  0.8068523  0.0192460 -0.9463298 -0.314516           -0.4622584
## [373,] -1.2369005  0.0192460 -0.9463298 -0.314516           -0.4622584
## [374,] -1.2369005  0.4492649  1.0545964 -0.314516           -0.4622584
## [375,]  0.8068523 -0.4107729  1.0545964 -0.314516           -0.4622584
## [376,]  0.8068523 -0.4107729 -0.9463298 -0.314516            2.1589569
## [377,]  0.8068523  0.0192460  1.0545964 -0.314516           -0.4622584
## [378,] -1.2369005 -0.5541125 -0.9463298 -0.314516           -0.4622584
## [379,]  0.8068523 -0.5541125 -0.9463298 -0.314516           -0.4622584
## [380,]  0.8068523  0.8792837  1.0545964 -0.314516           -0.4622584
## [381,]  0.8068523  0.7359441  1.0545964 -0.314516            2.1589569
## [382,]  0.8068523  0.3059252  1.0545964 -0.314516            2.1589569
## [383,]  0.8068523  1.7393214 -0.9463298 -0.314516            2.1589569
## [384,]  0.8068523  1.8826610 -0.9463298 -0.314516           -0.4622584
## [385,]  0.8068523 -0.1240936  1.0545964  3.173117            2.1589569
## [386,]  0.8068523  0.0192460 -0.9463298 -0.314516           -0.4622584
## [387,]  0.8068523 -0.6974521 -0.9463298 -0.314516           -0.4622584
## [388,]  0.8068523  0.0192460  1.0545964 -0.314516           -0.4622584
## [389,] -1.2369005 -1.1274709  1.0545964 -0.314516           -0.4622584
## [390,]  0.8068523  0.3059252 -0.9463298 -0.314516           -0.4622584
## [391,]  0.8068523  0.8792837  1.0545964 -0.314516           -0.4622584
## [392,] -1.2369005 -0.1240936 -0.9463298 -0.314516           -0.4622584
## [393,] -1.2369005 -1.4141502  1.0545964 -0.314516            2.1589569
## [394,] -1.2369005 -0.1240936  1.0545964 -0.314516           -0.4622584
## [395,] -1.2369005 -0.4107729 -0.9463298 -0.314516           -0.4622584
## [396,]  0.8068523 -0.1240936  1.0545964 -0.314516           -0.4622584
## [397,] -1.2369005  0.5926045 -0.9463298 -0.314516           -0.4622584
## [398,]  0.8068523 -0.4107729 -0.9463298  3.173117            2.1589569
## [399,]  0.8068523 -0.2674332 -0.9463298  3.173117            2.1589569
## [400,]  0.8068523  0.3059252  1.0545964 -0.314516           -0.4622584
## [401,]  0.8068523 -0.8407917 -0.9463298 -0.314516           -0.4622584
## [402,]  0.8068523  1.0226233 -0.9463298  3.173117            2.1589569
## [403,]  0.8068523  0.0192460 -0.9463298 -0.314516           -0.4622584
## [404,]  0.8068523 -0.1240936 -0.9463298 -0.314516           -0.4622584
## [405,] -1.2369005  0.4492649 -0.9463298 -0.314516           -0.4622584
## [406,]  0.8068523 -0.5541125 -0.9463298 -0.314516           -0.4622584
## [407,]  0.8068523  0.0192460 -0.9463298 -0.314516           -0.4622584
## [408,]  0.8068523 -0.2674332  1.0545964 -0.314516            2.1589569
## [409,]  0.8068523 -0.2674332  1.0545964 -0.314516           -0.4622584
## [410,]  0.8068523 -1.2708106  1.0545964 -0.314516           -0.4622584
## [411,]  0.8068523 -0.6974521 -0.9463298 -0.314516           -0.4622584
## [412,]  0.8068523  4.1760949 -0.9463298 -0.314516           -0.4622584
## [413,]  0.8068523  0.7359441  1.0545964  3.173117           -0.4622584
## [414,]  0.8068523 -0.5541125 -0.9463298 -0.314516           -0.4622584
## [415,] -1.2369005  0.3059252  1.0545964 -0.314516           -0.4622584
## [416,]  0.8068523  1.8826610 -0.9463298 -0.314516           -0.4622584
## [417,] -1.2369005 -0.4107729 -0.9463298 -0.314516           -0.4622584
## [418,] -1.2369005 -0.5541125  1.0545964 -0.314516           -0.4622584
## [419,]  0.8068523 -0.5541125  1.0545964 -0.314516            2.1589569
## [420,]  0.8068523  0.3059252 -0.9463298 -0.314516           -0.4622584
## [421,]  0.8068523  0.0192460 -0.9463298 -0.314516           -0.4622584
## [422,]  0.8068523  1.0226233 -0.9463298 -0.314516           -0.4622584
## [423,]  0.8068523 -0.6974521  1.0545964 -0.314516           -0.4622584
## [424,]  0.8068523  0.0192460 -0.9463298 -0.314516           -0.4622584
## [425,]  0.8068523 -0.6974521  1.0545964 -0.314516            2.1589569
## [426,]  0.8068523  0.5926045  1.0545964 -0.314516           -0.4622584
## [427,]  0.8068523  0.3059252 -0.9463298 -0.314516           -0.4622584
## [428,]  0.8068523  3.1727176  1.0545964 -0.314516           -0.4622584
## [429,] -1.2369005  0.8792837 -0.9463298 -0.314516           -0.4622584
## [430,]  0.8068523 -0.2674332 -0.9463298 -0.314516           -0.4622584
## [431,] -1.2369005  0.0192460  1.0545964 -0.314516           -0.4622584
## [432,]  0.8068523  1.5959818  1.0545964 -0.314516           -0.4622584
## [433,]  0.8068523 -0.9841313 -0.9463298 -0.314516           -0.4622584
## [434,]  0.8068523  0.1625856 -0.9463298 -0.314516            2.1589569
## [435,]  0.8068523  1.5959818 -0.9463298 -0.314516           -0.4622584
## [436,] -1.2369005 -0.6974521 -0.9463298 -0.314516           -0.4622584
## [437,]  0.8068523 -0.6974521 -0.9463298 -0.314516           -0.4622584
## [438,]  0.8068523  0.5926045  1.0545964 -0.314516           -0.4622584
## [439,]  0.8068523  0.3059252 -0.9463298 -0.314516            2.1589569
## [440,]  0.8068523  0.4492649 -0.9463298 -0.314516           -0.4622584
## [441,]  0.8068523  0.1625856 -0.9463298 -0.314516           -0.4622584
## [442,]  0.8068523 -0.6974521  1.0545964 -0.314516            2.1589569
## [443,]  0.8068523  1.4526422  1.0545964 -0.314516           -0.4622584
## [444,]  0.8068523  0.1625856  1.0545964  3.173117            2.1589569
## [445,]  0.8068523  0.5926045 -0.9463298  3.173117            2.1589569
## [446,]  0.8068523  0.1625856  1.0545964 -0.314516           -0.4622584
## [447,]  0.8068523  0.0192460  1.0545964  3.173117           -0.4622584
## [448,]  0.8068523 -0.2674332 -0.9463298 -0.314516           -0.4622584
## [449,] -1.2369005  0.1625856 -0.9463298  3.173117            2.1589569
## [450,] -1.2369005 -1.1274709  1.0545964 -0.314516           -0.4622584
## [451,] -1.2369005  0.8792837 -0.9463298 -0.314516            2.1589569
## [452,] -1.2369005  1.5959818 -0.9463298 -0.314516           -0.4622584
## [453,]  0.8068523  0.7359441 -0.9463298 -0.314516           -0.4622584
## [454,]  0.8068523  0.5926045  1.0545964 -0.314516           -0.4622584
## [455,]  0.8068523 -0.4107729  1.0545964  3.173117            2.1589569
## [456,]  0.8068523 -0.6974521  1.0545964 -0.314516           -0.4622584
## [457,]  0.8068523 -1.4141502 -0.9463298  3.173117            2.1589569
## [458,]  0.8068523 -0.2674332  1.0545964 -0.314516           -0.4622584
## [459,] -1.2369005  2.3126799 -0.9463298 -0.314516            2.1589569
## [460,]  0.8068523  0.3059252  1.0545964 -0.314516           -0.4622584
## [461,]  0.8068523  0.4492649  1.0545964 -0.314516            2.1589569
## [462,]  0.8068523  1.7393214  1.0545964 -0.314516           -0.4622584
## [463,]  0.8068523  0.1625856  1.0545964 -0.314516            2.1589569
## [464,]  0.8068523  2.1693403 -0.9463298 -0.314516           -0.4622584
## [465,]  0.8068523 -0.6974521  1.0545964 -0.314516           -0.4622584
## [466,]  0.8068523 -0.9841313 -0.9463298  3.173117           -0.4622584
## [467,]  0.8068523  0.7359441  1.0545964 -0.314516           -0.4622584
## [468,]  0.8068523  1.0226233  1.0545964 -0.314516           -0.4622584
## [469,]  0.8068523  2.1693403 -0.9463298 -0.314516           -0.4622584
## [470,] -1.2369005 -0.5541125 -0.9463298 -0.314516           -0.4622584
## [471,]  0.8068523  0.4492649  1.0545964 -0.314516            2.1589569
## [472,]  0.8068523  0.4492649 -0.9463298 -0.314516           -0.4622584
## [473,]  0.8068523  0.5926045 -0.9463298 -0.314516            2.1589569
## [474,]  0.8068523  1.0226233 -0.9463298 -0.314516           -0.4622584
## [475,]  0.8068523  0.3059252 -0.9463298 -0.314516           -0.4622584
## [476,]  0.8068523  1.0226233  1.0545964 -0.314516           -0.4622584
## [477,]  0.8068523  0.3059252  1.0545964 -0.314516            2.1589569
## [478,]  0.8068523  1.8826610  1.0545964 -0.314516           -0.4622584
## [479,]  0.8068523  0.4492649  1.0545964 -0.314516           -0.4622584
## [480,] -1.2369005 -1.2708106 -0.9463298 -0.314516           -0.4622584
## [481,]  0.8068523  1.0226233  1.0545964 -0.314516            2.1589569
## [482,]  0.8068523 -0.1240936 -0.9463298  3.173117           -0.4622584
## [483,]  0.8068523  0.3059252  1.0545964 -0.314516           -0.4622584
## [484,]  0.8068523 -0.6974521  1.0545964 -0.314516           -0.4622584
## [485,]  0.8068523 -0.8407917 -0.9463298 -0.314516           -0.4622584
## [486,]  0.8068523  1.5959818  1.0545964 -0.314516           -0.4622584
## [487,]  0.8068523 -0.6974521 -0.9463298 -0.314516           -0.4622584
## [488,]  0.8068523  1.8826610 -0.9463298 -0.314516           -0.4622584
## [489,]  0.8068523 -0.2674332 -0.9463298 -0.314516           -0.4622584
## [490,]  0.8068523  1.7393214  1.0545964 -0.314516           -0.4622584
## [491,] -1.2369005  2.5993591 -0.9463298  3.173117            2.1589569
## [492,]  0.8068523  1.0226233 -0.9463298 -0.314516           -0.4622584
## [493,]  0.8068523 -1.7008294  1.0545964  3.173117            2.1589569
## [494,] -1.2369005 -0.4107729 -0.9463298 -0.314516           -0.4622584
## [495,]  0.8068523  0.5926045  1.0545964 -0.314516            2.1589569
## [496,]  0.8068523  2.7426988  1.0545964 -0.314516           -0.4622584
## [497,] -1.2369005  1.3093026  1.0545964 -0.314516           -0.4622584
## [498,]  0.8068523  1.0226233  1.0545964 -0.314516           -0.4622584
## [499,]  0.8068523  1.0226233 -0.9463298 -0.314516            2.1589569
##        PhysActivity HvyAlcoholConsump AnyHealthcare     GenHlth    MentHlth
##   [1,]    0.7085224        -0.2041323     0.2294274  0.08247803  0.16078180
##   [2,]   -1.4085595        -0.2041323     0.2294274  0.08247803 -0.47294740
##   [3,]    0.7085224        -0.2041323     0.2294274 -1.63237772 -0.47294740
##   [4,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
##   [5,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
##   [6,]    0.7085224        -0.2041323    -4.3499430 -0.77494985  0.41427348
##   [7,]    0.7085224         4.8889676     0.2294274 -1.63237772 -0.47294740
##   [8,]   -1.4085595        -0.2041323     0.2294274  0.93990591 -0.47294740
##   [9,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
##  [10,]   -1.4085595        -0.2041323     0.2294274  0.08247803 -0.47294740
##  [11,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
##  [12,]    0.7085224        -0.2041323     0.2294274 -1.63237772 -0.47294740
##  [13,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
##  [14,]   -1.4085595        -0.2041323     0.2294274  0.08247803 -0.09270988
##  [15,]    0.7085224        -0.2041323     0.2294274 -1.63237772 -0.47294740
##  [16,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
##  [17,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
##  [18,]    0.7085224        -0.2041323     0.2294274 -1.63237772 -0.47294740
##  [19,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
##  [20,]   -1.4085595        -0.2041323    -4.3499430  0.08247803 -0.47294740
##  [21,]    0.7085224        -0.2041323     0.2294274 -1.63237772 -0.47294740
##  [22,]    0.7085224        -0.2041323     0.2294274  1.79733379 -0.47294740
##  [23,]    0.7085224         4.8889676     0.2294274 -0.77494985 -0.47294740
##  [24,]    0.7085224        -0.2041323     0.2294274 -1.63237772 -0.47294740
##  [25,]    0.7085224        -0.2041323     0.2294274  0.08247803  0.03403596
##  [26,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.21945572
##  [27,]   -1.4085595        -0.2041323     0.2294274 -0.77494985 -0.47294740
##  [28,]   -1.4085595        -0.2041323     0.2294274  0.93990591 -0.47294740
##  [29,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.21945572
##  [30,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
##  [31,]    0.7085224        -0.2041323     0.2294274  0.93990591  3.32942778
##  [32,]    0.7085224        -0.2041323     0.2294274 -0.77494985  0.16078180
##  [33,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
##  [34,]   -1.4085595        -0.2041323     0.2294274  0.93990591 -0.47294740
##  [35,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
##  [36,]    0.7085224        -0.2041323     0.2294274 -1.63237772  2.06196939
##  [37,]   -1.4085595        -0.2041323     0.2294274 -0.77494985 -0.47294740
##  [38,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
##  [39,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
##  [40,]    0.7085224        -0.2041323     0.2294274 -1.63237772 -0.47294740
##  [41,]    0.7085224         4.8889676     0.2294274  0.08247803 -0.34620156
##  [42,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
##  [43,]   -1.4085595        -0.2041323     0.2294274 -1.63237772 -0.47294740
##  [44,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
##  [45,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
##  [46,]   -1.4085595        -0.2041323     0.2294274  1.79733379  0.41427348
##  [47,]    0.7085224        -0.2041323     0.2294274 -1.63237772 -0.47294740
##  [48,]    0.7085224        -0.2041323     0.2294274 -1.63237772 -0.21945572
##  [49,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
##  [50,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
##  [51,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
##  [52,]    0.7085224        -0.2041323     0.2294274  1.79733379  1.42824019
##  [53,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
##  [54,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.34620156
##  [55,]    0.7085224        -0.2041323     0.2294274 -1.63237772  0.16078180
##  [56,]   -1.4085595        -0.2041323     0.2294274 -1.63237772 -0.47294740
##  [57,]   -1.4085595        -0.2041323     0.2294274  0.08247803 -0.47294740
##  [58,]    0.7085224        -0.2041323     0.2294274 -1.63237772 -0.47294740
##  [59,]    0.7085224         4.8889676     0.2294274 -1.63237772 -0.47294740
##  [60,]   -1.4085595        -0.2041323     0.2294274  1.79733379  2.06196939
##  [61,]    0.7085224        -0.2041323     0.2294274  0.93990591  0.79451099
##  [62,]   -1.4085595        -0.2041323     0.2294274  0.93990591 -0.47294740
##  [63,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
##  [64,]    0.7085224        -0.2041323     0.2294274 -0.77494985  1.42824019
##  [65,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
##  [66,]    0.7085224        -0.2041323     0.2294274  1.79733379  3.32942778
##  [67,]    0.7085224        -0.2041323     0.2294274 -1.63237772 -0.47294740
##  [68,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
##  [69,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
##  [70,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
##  [71,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
##  [72,]   -1.4085595        -0.2041323     0.2294274 -0.77494985 -0.21945572
##  [73,]   -1.4085595        -0.2041323     0.2294274  1.79733379  3.32942778
##  [74,]    0.7085224        -0.2041323     0.2294274 -1.63237772 -0.47294740
##  [75,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
##  [76,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
##  [77,]    0.7085224        -0.2041323     0.2294274 -0.77494985  0.41427348
##  [78,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
##  [79,]    0.7085224        -0.2041323     0.2294274  0.93990591 -0.47294740
##  [80,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
##  [81,]    0.7085224        -0.2041323     0.2294274 -1.63237772 -0.47294740
##  [82,]   -1.4085595        -0.2041323     0.2294274 -0.77494985 -0.47294740
##  [83,]    0.7085224        -0.2041323     0.2294274  0.93990591 -0.47294740
##  [84,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
##  [85,]    0.7085224        -0.2041323     0.2294274 -1.63237772 -0.47294740
##  [86,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.21945572
##  [87,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
##  [88,]   -1.4085595        -0.2041323     0.2294274  1.79733379  2.69569859
##  [89,]   -1.4085595        -0.2041323    -4.3499430  0.93990591  1.42824019
##  [90,]   -1.4085595        -0.2041323    -4.3499430 -0.77494985 -0.47294740
##  [91,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
##  [92,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
##  [93,]   -1.4085595        -0.2041323     0.2294274  0.93990591 -0.47294740
##  [94,]    0.7085224        -0.2041323     0.2294274 -1.63237772 -0.47294740
##  [95,]   -1.4085595        -0.2041323     0.2294274  1.79733379 -0.47294740
##  [96,]    0.7085224        -0.2041323     0.2294274 -1.63237772 -0.47294740
##  [97,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
##  [98,]    0.7085224        -0.2041323     0.2294274 -1.63237772 -0.47294740
##  [99,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.21945572
## [100,]    0.7085224         4.8889676    -4.3499430 -0.77494985 -0.21945572
## [101,]   -1.4085595        -0.2041323     0.2294274  0.93990591  1.30149435
## [102,]   -1.4085595        -0.2041323     0.2294274  0.08247803  2.06196939
## [103,]    0.7085224        -0.2041323     0.2294274 -1.63237772 -0.47294740
## [104,]   -1.4085595        -0.2041323     0.2294274  0.08247803  3.32942778
## [105,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.21945572
## [106,]   -1.4085595        -0.2041323     0.2294274  0.08247803 -0.47294740
## [107,]    0.7085224        -0.2041323     0.2294274 -1.63237772 -0.47294740
## [108,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [109,]   -1.4085595        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [110,]   -1.4085595        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [111,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [112,]   -1.4085595        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [113,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [114,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [115,]    0.7085224        -0.2041323     0.2294274  0.93990591 -0.47294740
## [116,]    0.7085224        -0.2041323     0.2294274 -1.63237772 -0.47294740
## [117,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [118,]   -1.4085595        -0.2041323     0.2294274  0.08247803 -0.21945572
## [119,]   -1.4085595        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [120,]   -1.4085595        -0.2041323     0.2294274 -1.63237772 -0.47294740
## [121,]    0.7085224        -0.2041323     0.2294274  0.93990591  2.06196939
## [122,]    0.7085224        -0.2041323    -4.3499430 -0.77494985  3.32942778
## [123,]    0.7085224        -0.2041323     0.2294274 -0.77494985  0.16078180
## [124,]    0.7085224         4.8889676     0.2294274  0.08247803 -0.09270988
## [125,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [126,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [127,]    0.7085224        -0.2041323     0.2294274 -1.63237772 -0.47294740
## [128,]   -1.4085595        -0.2041323     0.2294274  0.08247803 -0.34620156
## [129,]    0.7085224        -0.2041323     0.2294274 -1.63237772 -0.47294740
## [130,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [131,]    0.7085224        -0.2041323     0.2294274  1.79733379  3.32942778
## [132,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.21945572
## [133,]    0.7085224        -0.2041323     0.2294274 -1.63237772 -0.47294740
## [134,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [135,]    0.7085224        -0.2041323     0.2294274 -1.63237772 -0.47294740
## [136,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [137,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [138,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [139,]    0.7085224        -0.2041323     0.2294274 -1.63237772 -0.47294740
## [140,]    0.7085224        -0.2041323    -4.3499430  0.08247803 -0.47294740
## [141,]    0.7085224        -0.2041323     0.2294274  1.79733379  3.07593610
## [142,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [143,]    0.7085224        -0.2041323    -4.3499430 -1.63237772 -0.34620156
## [144,]   -1.4085595        -0.2041323     0.2294274  0.93990591 -0.47294740
## [145,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.21945572
## [146,]    0.7085224        -0.2041323    -4.3499430 -1.63237772 -0.47294740
## [147,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [148,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.34620156
## [149,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [150,]    0.7085224         4.8889676     0.2294274  0.08247803 -0.47294740
## [151,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [152,]    0.7085224        -0.2041323     0.2294274  1.79733379  0.16078180
## [153,]    0.7085224        -0.2041323     0.2294274 -1.63237772  0.03403596
## [154,]    0.7085224        -0.2041323     0.2294274 -1.63237772 -0.47294740
## [155,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.21945572
## [156,]    0.7085224        -0.2041323     0.2294274 -0.77494985  3.32942778
## [157,]   -1.4085595        -0.2041323     0.2294274  0.08247803 -0.34620156
## [158,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [159,]    0.7085224        -0.2041323     0.2294274 -1.63237772 -0.47294740
## [160,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.34620156
## [161,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.09270988
## [162,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [163,]    0.7085224        -0.2041323     0.2294274 -1.63237772 -0.47294740
## [164,]   -1.4085595         4.8889676     0.2294274  1.79733379  0.79451099
## [165,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [166,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [167,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [168,]   -1.4085595        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [169,]   -1.4085595        -0.2041323    -4.3499430 -1.63237772 -0.47294740
## [170,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [171,]    0.7085224        -0.2041323     0.2294274  0.08247803  1.30149435
## [172,]   -1.4085595        -0.2041323     0.2294274  0.08247803 -0.47294740
## [173,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [174,]    0.7085224        -0.2041323     0.2294274 -1.63237772 -0.47294740
## [175,]    0.7085224        -0.2041323     0.2294274 -1.63237772 -0.47294740
## [176,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [177,]    0.7085224        -0.2041323     0.2294274 -0.77494985  0.41427348
## [178,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [179,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.21945572
## [180,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.21945572
## [181,]   -1.4085595        -0.2041323     0.2294274  1.79733379  3.32942778
## [182,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.09270988
## [183,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.09270988
## [184,]    0.7085224        -0.2041323     0.2294274  0.08247803  0.79451099
## [185,]    0.7085224        -0.2041323    -4.3499430  0.93990591 -0.47294740
## [186,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [187,]    0.7085224        -0.2041323    -4.3499430  0.93990591 -0.47294740
## [188,]    0.7085224         4.8889676     0.2294274  0.93990591  1.42824019
## [189,]    0.7085224         4.8889676     0.2294274 -1.63237772 -0.47294740
## [190,]    0.7085224        -0.2041323     0.2294274  1.79733379 -0.21945572
## [191,]    0.7085224        -0.2041323     0.2294274 -1.63237772 -0.47294740
## [192,]   -1.4085595        -0.2041323     0.2294274  0.08247803  0.79451099
## [193,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [194,]    0.7085224        -0.2041323     0.2294274  0.93990591  3.32942778
## [195,]    0.7085224        -0.2041323    -4.3499430 -0.77494985 -0.47294740
## [196,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [197,]    0.7085224         4.8889676     0.2294274  0.08247803 -0.47294740
## [198,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [199,]    0.7085224        -0.2041323     0.2294274 -1.63237772 -0.47294740
## [200,]   -1.4085595        -0.2041323     0.2294274  1.79733379  0.79451099
## [201,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.09270988
## [202,]   -1.4085595        -0.2041323     0.2294274 -1.63237772 -0.47294740
## [203,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [204,]   -1.4085595        -0.2041323     0.2294274  0.08247803  3.32942778
## [205,]    0.7085224        -0.2041323     0.2294274 -0.77494985  0.16078180
## [206,]    0.7085224        -0.2041323     0.2294274  0.08247803  2.06196939
## [207,]    0.7085224        -0.2041323     0.2294274  0.08247803  0.16078180
## [208,]    0.7085224        -0.2041323     0.2294274 -1.63237772 -0.47294740
## [209,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [210,]    0.7085224        -0.2041323     0.2294274 -0.77494985  3.32942778
## [211,]    0.7085224        -0.2041323     0.2294274  0.08247803  1.30149435
## [212,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [213,]    0.7085224        -0.2041323     0.2294274  0.93990591  0.16078180
## [214,]   -1.4085595        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [215,]    0.7085224        -0.2041323     0.2294274  0.93990591 -0.47294740
## [216,]    0.7085224         4.8889676     0.2294274 -0.77494985 -0.47294740
## [217,]    0.7085224        -0.2041323     0.2294274  0.08247803  1.30149435
## [218,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [219,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [220,]   -1.4085595        -0.2041323    -4.3499430 -0.77494985 -0.47294740
## [221,]    0.7085224        -0.2041323     0.2294274 -1.63237772 -0.47294740
## [222,]    0.7085224        -0.2041323     0.2294274  0.93990591 -0.47294740
## [223,]    0.7085224        -0.2041323     0.2294274 -1.63237772 -0.47294740
## [224,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.21945572
## [225,]    0.7085224        -0.2041323     0.2294274 -1.63237772 -0.47294740
## [226,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [227,]    0.7085224        -0.2041323     0.2294274 -1.63237772 -0.47294740
## [228,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [229,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [230,]    0.7085224        -0.2041323     0.2294274 -0.77494985  3.07593610
## [231,]   -1.4085595        -0.2041323    -4.3499430  0.93990591  1.42824019
## [232,]    0.7085224        -0.2041323     0.2294274 -1.63237772 -0.47294740
## [233,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [234,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [235,]    0.7085224         4.8889676     0.2294274 -0.77494985 -0.47294740
## [236,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [237,]    0.7085224        -0.2041323     0.2294274 -1.63237772  0.03403596
## [238,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [239,]    0.7085224        -0.2041323     0.2294274  0.08247803  3.32942778
## [240,]    0.7085224        -0.2041323     0.2294274  0.08247803  3.32942778
## [241,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [242,]   -1.4085595        -0.2041323     0.2294274  0.93990591 -0.21945572
## [243,]    0.7085224         4.8889676     0.2294274 -0.77494985 -0.47294740
## [244,]    0.7085224        -0.2041323     0.2294274 -1.63237772 -0.47294740
## [245,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [246,]    0.7085224        -0.2041323     0.2294274 -0.77494985  0.16078180
## [247,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [248,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [249,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [250,]   -1.4085595        -0.2041323     0.2294274  1.79733379  3.32942778
## [251,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [252,]   -1.4085595        -0.2041323     0.2294274  0.93990591 -0.47294740
## [253,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [254,]    0.7085224        -0.2041323     0.2294274 -1.63237772 -0.47294740
## [255,]   -1.4085595        -0.2041323     0.2294274  1.79733379 -0.47294740
## [256,]   -1.4085595        -0.2041323     0.2294274  0.93990591 -0.47294740
## [257,]   -1.4085595        -0.2041323     0.2294274  0.93990591  2.06196939
## [258,]    0.7085224        -0.2041323     0.2294274  0.93990591 -0.47294740
## [259,]   -1.4085595        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [260,]   -1.4085595        -0.2041323     0.2294274  0.08247803 -0.47294740
## [261,]   -1.4085595        -0.2041323     0.2294274  0.08247803 -0.47294740
## [262,]   -1.4085595        -0.2041323     0.2294274  1.79733379 -0.47294740
## [263,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [264,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [265,]   -1.4085595        -0.2041323     0.2294274 -1.63237772 -0.21945572
## [266,]    0.7085224        -0.2041323     0.2294274 -0.77494985  0.03403596
## [267,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [268,]    0.7085224        -0.2041323     0.2294274 -1.63237772 -0.47294740
## [269,]   -1.4085595        -0.2041323     0.2294274  0.93990591 -0.21945572
## [270,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [271,]    0.7085224         4.8889676     0.2294274  0.08247803 -0.47294740
## [272,]    0.7085224        -0.2041323     0.2294274  0.93990591  3.32942778
## [273,]   -1.4085595        -0.2041323     0.2294274  1.79733379  1.42824019
## [274,]    0.7085224        -0.2041323    -4.3499430  0.93990591 -0.47294740
## [275,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [276,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [277,]   -1.4085595        -0.2041323     0.2294274  0.93990591 -0.47294740
## [278,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [279,]   -1.4085595        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [280,]    0.7085224         4.8889676     0.2294274  0.08247803 -0.47294740
## [281,]   -1.4085595        -0.2041323    -4.3499430  0.93990591 -0.21945572
## [282,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [283,]    0.7085224        -0.2041323     0.2294274  1.79733379 -0.09270988
## [284,]   -1.4085595        -0.2041323     0.2294274  0.08247803 -0.47294740
## [285,]    0.7085224        -0.2041323     0.2294274  0.08247803  1.30149435
## [286,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [287,]   -1.4085595        -0.2041323     0.2294274  0.93990591 -0.21945572
## [288,]   -1.4085595        -0.2041323     0.2294274  0.08247803 -0.47294740
## [289,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [290,]   -1.4085595        -0.2041323     0.2294274  0.93990591 -0.47294740
## [291,]    0.7085224        -0.2041323     0.2294274  0.93990591 -0.47294740
## [292,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [293,]    0.7085224        -0.2041323     0.2294274  0.93990591 -0.47294740
## [294,]   -1.4085595        -0.2041323     0.2294274  0.93990591  1.42824019
## [295,]   -1.4085595        -0.2041323     0.2294274  0.93990591 -0.47294740
## [296,]    0.7085224        -0.2041323     0.2294274  0.08247803  0.03403596
## [297,]   -1.4085595        -0.2041323     0.2294274  0.93990591 -0.47294740
## [298,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [299,]   -1.4085595        -0.2041323     0.2294274  1.79733379  1.42824019
## [300,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [301,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [302,]   -1.4085595        -0.2041323     0.2294274 -1.63237772 -0.47294740
## [303,]   -1.4085595        -0.2041323     0.2294274  0.93990591 -0.47294740
## [304,]   -1.4085595        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [305,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [306,]   -1.4085595        -0.2041323     0.2294274  0.93990591 -0.47294740
## [307,]   -1.4085595        -0.2041323     0.2294274  0.08247803 -0.47294740
## [308,]    0.7085224        -0.2041323     0.2294274  0.93990591 -0.47294740
## [309,]   -1.4085595        -0.2041323     0.2294274  0.08247803 -0.47294740
## [310,]    0.7085224        -0.2041323     0.2294274  0.93990591  0.79451099
## [311,]   -1.4085595        -0.2041323     0.2294274  0.93990591  1.30149435
## [312,]   -1.4085595        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [313,]   -1.4085595        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [314,]    0.7085224        -0.2041323     0.2294274  0.93990591 -0.09270988
## [315,]    0.7085224        -0.2041323     0.2294274  0.93990591 -0.47294740
## [316,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [317,]    0.7085224        -0.2041323     0.2294274  1.79733379  0.79451099
## [318,]   -1.4085595        -0.2041323     0.2294274  0.93990591 -0.47294740
## [319,]    0.7085224        -0.2041323     0.2294274  0.08247803  0.41427348
## [320,]   -1.4085595        -0.2041323     0.2294274  0.08247803 -0.47294740
## [321,]   -1.4085595        -0.2041323     0.2294274  0.08247803 -0.47294740
## [322,]   -1.4085595        -0.2041323     0.2294274  0.93990591  0.79451099
## [323,]   -1.4085595        -0.2041323     0.2294274  1.79733379 -0.47294740
## [324,]    0.7085224        -0.2041323     0.2294274  1.79733379  1.42824019
## [325,]   -1.4085595        -0.2041323     0.2294274  0.93990591 -0.09270988
## [326,]   -1.4085595        -0.2041323     0.2294274  0.08247803 -0.47294740
## [327,]   -1.4085595        -0.2041323     0.2294274  0.08247803 -0.47294740
## [328,]    0.7085224        -0.2041323     0.2294274 -1.63237772 -0.47294740
## [329,]   -1.4085595        -0.2041323     0.2294274  0.93990591 -0.47294740
## [330,]   -1.4085595        -0.2041323     0.2294274  0.93990591 -0.47294740
## [331,]   -1.4085595        -0.2041323     0.2294274  1.79733379  2.06196939
## [332,]    0.7085224        -0.2041323     0.2294274  0.93990591  0.16078180
## [333,]   -1.4085595        -0.2041323     0.2294274  0.08247803 -0.47294740
## [334,]    0.7085224        -0.2041323     0.2294274  0.93990591  1.55498603
## [335,]    0.7085224        -0.2041323     0.2294274  0.93990591 -0.47294740
## [336,]    0.7085224        -0.2041323     0.2294274  0.93990591 -0.47294740
## [337,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [338,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [339,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [340,]   -1.4085595        -0.2041323     0.2294274  0.93990591 -0.09270988
## [341,]    0.7085224        -0.2041323     0.2294274  0.93990591 -0.47294740
## [342,]   -1.4085595        -0.2041323     0.2294274  0.08247803 -0.47294740
## [343,]   -1.4085595        -0.2041323     0.2294274  1.79733379 -0.47294740
## [344,]   -1.4085595        -0.2041323     0.2294274  0.93990591 -0.47294740
## [345,]   -1.4085595        -0.2041323    -4.3499430  0.93990591 -0.21945572
## [346,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.21945572
## [347,]    0.7085224        -0.2041323     0.2294274  0.93990591  0.03403596
## [348,]   -1.4085595        -0.2041323    -4.3499430  0.08247803  0.79451099
## [349,]   -1.4085595        -0.2041323     0.2294274  1.79733379  2.69569859
## [350,]    0.7085224         4.8889676     0.2294274  0.93990591 -0.21945572
## [351,]   -1.4085595        -0.2041323     0.2294274  0.93990591 -0.47294740
## [352,]   -1.4085595        -0.2041323     0.2294274  1.79733379 -0.09270988
## [353,]    0.7085224        -0.2041323     0.2294274  0.08247803  2.06196939
## [354,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [355,]   -1.4085595        -0.2041323    -4.3499430  0.08247803  0.16078180
## [356,]    0.7085224         4.8889676     0.2294274 -0.77494985 -0.47294740
## [357,]   -1.4085595        -0.2041323     0.2294274  0.93990591 -0.09270988
## [358,]   -1.4085595        -0.2041323     0.2294274  0.08247803 -0.47294740
## [359,]    0.7085224        -0.2041323     0.2294274  0.08247803  0.16078180
## [360,]   -1.4085595        -0.2041323     0.2294274  0.93990591 -0.47294740
## [361,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [362,]   -1.4085595        -0.2041323     0.2294274  1.79733379  0.41427348
## [363,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [364,]   -1.4085595        -0.2041323     0.2294274  0.93990591 -0.47294740
## [365,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [366,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [367,]   -1.4085595        -0.2041323     0.2294274  0.93990591 -0.47294740
## [368,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [369,]   -1.4085595        -0.2041323     0.2294274  0.93990591 -0.47294740
## [370,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [371,]   -1.4085595        -0.2041323     0.2294274  0.08247803 -0.47294740
## [372,]   -1.4085595        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [373,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [374,]   -1.4085595        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [375,]   -1.4085595        -0.2041323     0.2294274  0.93990591  1.42824019
## [376,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [377,]    0.7085224        -0.2041323     0.2294274  0.08247803  3.32942778
## [378,]    0.7085224        -0.2041323    -4.3499430 -0.77494985 -0.47294740
## [379,]    0.7085224        -0.2041323    -4.3499430 -0.77494985 -0.21945572
## [380,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [381,]   -1.4085595        -0.2041323     0.2294274  0.93990591  3.32942778
## [382,]    0.7085224        -0.2041323     0.2294274  0.08247803  3.32942778
## [383,]    0.7085224        -0.2041323     0.2294274  1.79733379  3.32942778
## [384,]   -1.4085595        -0.2041323     0.2294274  1.79733379  0.79451099
## [385,]    0.7085224        -0.2041323     0.2294274  0.93990591 -0.47294740
## [386,]    0.7085224        -0.2041323     0.2294274  0.93990591  1.42824019
## [387,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [388,]   -1.4085595        -0.2041323     0.2294274  0.08247803 -0.47294740
## [389,]   -1.4085595        -0.2041323     0.2294274  0.08247803 -0.47294740
## [390,]    0.7085224        -0.2041323     0.2294274  0.08247803  3.32942778
## [391,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [392,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [393,]   -1.4085595        -0.2041323     0.2294274  1.79733379 -0.47294740
## [394,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [395,]    0.7085224        -0.2041323     0.2294274 -1.63237772 -0.09270988
## [396,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [397,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [398,]   -1.4085595        -0.2041323     0.2294274  1.79733379  3.32942778
## [399,]    0.7085224        -0.2041323     0.2294274  0.08247803  0.79451099
## [400,]   -1.4085595        -0.2041323     0.2294274  1.79733379  3.32942778
## [401,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [402,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [403,]   -1.4085595        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [404,]    0.7085224        -0.2041323     0.2294274  0.93990591 -0.47294740
## [405,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.34620156
## [406,]    0.7085224        -0.2041323     0.2294274  0.93990591 -0.47294740
## [407,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [408,]   -1.4085595         4.8889676     0.2294274  0.08247803 -0.47294740
## [409,]    0.7085224        -0.2041323     0.2294274  0.93990591 -0.47294740
## [410,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [411,]   -1.4085595        -0.2041323     0.2294274  0.08247803 -0.47294740
## [412,]    0.7085224        -0.2041323    -4.3499430  0.08247803 -0.47294740
## [413,]   -1.4085595        -0.2041323     0.2294274  0.93990591 -0.47294740
## [414,]    0.7085224        -0.2041323     0.2294274  1.79733379  0.79451099
## [415,]    0.7085224        -0.2041323     0.2294274  0.08247803  1.42824019
## [416,]    0.7085224        -0.2041323     0.2294274  0.08247803  3.32942778
## [417,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [418,]   -1.4085595        -0.2041323     0.2294274  1.79733379  0.79451099
## [419,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [420,]   -1.4085595        -0.2041323     0.2294274  0.08247803 -0.47294740
## [421,]    0.7085224        -0.2041323    -4.3499430  0.93990591  3.32942778
## [422,]   -1.4085595        -0.2041323     0.2294274  0.08247803  1.42824019
## [423,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [424,]   -1.4085595        -0.2041323     0.2294274  0.93990591  0.03403596
## [425,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.34620156
## [426,]   -1.4085595        -0.2041323     0.2294274  0.08247803 -0.47294740
## [427,]   -1.4085595        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [428,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [429,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [430,]   -1.4085595        -0.2041323     0.2294274  0.08247803 -0.47294740
## [431,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [432,]   -1.4085595        -0.2041323     0.2294274  0.08247803 -0.47294740
## [433,]    0.7085224        -0.2041323     0.2294274  0.93990591  0.79451099
## [434,]   -1.4085595        -0.2041323     0.2294274  1.79733379 -0.47294740
## [435,]   -1.4085595        -0.2041323     0.2294274  1.79733379 -0.21945572
## [436,]   -1.4085595        -0.2041323     0.2294274  1.79733379 -0.47294740
## [437,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [438,]    0.7085224        -0.2041323     0.2294274  0.93990591 -0.47294740
## [439,]    0.7085224        -0.2041323     0.2294274  1.79733379  3.32942778
## [440,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [441,]    0.7085224        -0.2041323     0.2294274 -1.63237772 -0.47294740
## [442,]   -1.4085595        -0.2041323     0.2294274  1.79733379 -0.47294740
## [443,]   -1.4085595        -0.2041323     0.2294274  0.93990591 -0.47294740
## [444,]   -1.4085595        -0.2041323     0.2294274  0.08247803 -0.47294740
## [445,]   -1.4085595        -0.2041323     0.2294274  0.08247803 -0.34620156
## [446,]    0.7085224        -0.2041323     0.2294274  0.08247803  0.28752764
## [447,]   -1.4085595        -0.2041323     0.2294274  0.08247803 -0.47294740
## [448,]    0.7085224        -0.2041323     0.2294274  0.93990591 -0.47294740
## [449,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [450,]   -1.4085595        -0.2041323     0.2294274  1.79733379 -0.47294740
## [451,]   -1.4085595        -0.2041323     0.2294274  0.08247803  1.30149435
## [452,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [453,]    0.7085224        -0.2041323     0.2294274  0.93990591 -0.47294740
## [454,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.09270988
## [455,]   -1.4085595        -0.2041323     0.2294274  0.93990591 -0.47294740
## [456,]    0.7085224        -0.2041323     0.2294274 -0.77494985  1.42824019
## [457,]   -1.4085595        -0.2041323     0.2294274  1.79733379 -0.47294740
## [458,]    0.7085224        -0.2041323     0.2294274  0.93990591 -0.47294740
## [459,]   -1.4085595        -0.2041323     0.2294274  0.93990591 -0.47294740
## [460,]    0.7085224        -0.2041323     0.2294274  1.79733379  2.06196939
## [461,]   -1.4085595        -0.2041323     0.2294274  0.93990591 -0.47294740
## [462,]    0.7085224        -0.2041323     0.2294274 -1.63237772  0.16078180
## [463,]   -1.4085595        -0.2041323     0.2294274  0.93990591 -0.47294740
## [464,]   -1.4085595        -0.2041323     0.2294274  1.79733379 -0.09270988
## [465,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [466,]    0.7085224        -0.2041323     0.2294274  1.79733379 -0.47294740
## [467,]    0.7085224        -0.2041323     0.2294274  0.93990591 -0.09270988
## [468,]    0.7085224        -0.2041323     0.2294274  0.93990591 -0.47294740
## [469,]   -1.4085595        -0.2041323     0.2294274  0.93990591  1.42824019
## [470,]   -1.4085595        -0.2041323     0.2294274  0.08247803 -0.47294740
## [471,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [472,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [473,]   -1.4085595        -0.2041323     0.2294274  0.08247803 -0.47294740
## [474,]   -1.4085595        -0.2041323     0.2294274  0.08247803  0.41427348
## [475,]   -1.4085595        -0.2041323     0.2294274  0.93990591 -0.47294740
## [476,]   -1.4085595        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [477,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [478,]    0.7085224        -0.2041323     0.2294274  0.93990591 -0.47294740
## [479,]    0.7085224        -0.2041323    -4.3499430  1.79733379  3.32942778
## [480,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [481,]   -1.4085595        -0.2041323     0.2294274  0.93990591  0.16078180
## [482,]   -1.4085595        -0.2041323     0.2294274  1.79733379  1.42824019
## [483,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.47294740
## [484,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [485,]   -1.4085595        -0.2041323     0.2294274  0.93990591 -0.47294740
## [486,]   -1.4085595        -0.2041323     0.2294274  1.79733379 -0.47294740
## [487,]   -1.4085595        -0.2041323     0.2294274  0.93990591 -0.47294740
## [488,]   -1.4085595        -0.2041323     0.2294274  1.79733379 -0.47294740
## [489,]   -1.4085595         4.8889676     0.2294274 -0.77494985 -0.47294740
## [490,]   -1.4085595        -0.2041323     0.2294274  1.79733379 -0.47294740
## [491,]    0.7085224        -0.2041323     0.2294274  0.93990591  0.79451099
## [492,]    0.7085224        -0.2041323     0.2294274  0.93990591  0.16078180
## [493,]   -1.4085595        -0.2041323     0.2294274  1.79733379 -0.47294740
## [494,]    0.7085224        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [495,]   -1.4085595        -0.2041323     0.2294274 -0.77494985 -0.47294740
## [496,]   -1.4085595        -0.2041323     0.2294274  0.08247803  0.41427348
## [497,]    0.7085224        -0.2041323     0.2294274  0.08247803 -0.21945572
## [498,]    0.7085224        -0.2041323     0.2294274  0.08247803  1.42824019
## [499,]   -1.4085595        -0.2041323     0.2294274  1.79733379 -0.47294740
##           PhysHlth        Sex         Age  Education     Income
##   [1,]  2.44794691  1.2214762 -1.81942565  1.1073643  1.1197206
##   [2,] -0.59445784  1.2214762  1.13547557  1.1073643  1.1197206
##   [3,]  0.41967708  1.2214762  1.50483822  1.1073643  1.1197206
##   [4,] -0.29021737  1.2214762  0.76611291  1.1073643  1.1197206
##   [5,] -0.59445784 -0.8170409 -0.34197504  0.1480331  1.1197206
##   [6,] -0.59445784 -0.8170409 -2.92751360 -0.8112982  0.6759235
##   [7,] -0.59445784  1.2214762  1.50483822  0.1480331  0.2321264
##   [8,] -0.59445784  1.2214762 -1.08070034 -0.8112982 -1.0992650
##   [9,] -0.59445784 -0.8170409 -2.18878830  1.1073643  1.1197206
##  [10,]  0.01402311  1.2214762 -1.08070034 -0.8112982 -0.6554679
##  [11,] -0.18880388 -0.8170409  1.13547557 -0.8112982  0.2321264
##  [12,] -0.59445784  1.2214762 -1.81942565  1.1073643  1.1197206
##  [13,] -0.59445784  1.2214762 -0.71133769  1.1073643  1.1197206
##  [14,] -0.29021737  1.2214762  0.39675026 -0.8112982  0.2321264
##  [15,] -0.59445784 -0.8170409  0.39675026  0.1480331 -1.9868593
##  [16,] -0.59445784 -0.8170409  0.39675026 -0.8112982  0.2321264
##  [17,] -0.59445784 -0.8170409  0.02738761  0.1480331  0.6759235
##  [18,] -0.59445784  1.2214762  0.39675026  1.1073643  0.6759235
##  [19,] -0.59445784 -0.8170409 -0.34197504  1.1073643  1.1197206
##  [20,]  0.92674453  1.2214762 -0.71133769  0.1480331 -0.2116708
##  [21,] -0.59445784 -0.8170409 -1.08070034  1.1073643  1.1197206
##  [22,]  2.44794691  1.2214762  0.39675026  0.1480331  1.1197206
##  [23,] -0.59445784 -0.8170409 -0.34197504  1.1073643  1.1197206
##  [24,] -0.59445784 -0.8170409  0.02738761 -0.8112982  0.2321264
##  [25,]  2.44794691 -0.8170409  0.39675026 -0.8112982 -1.0992650
##  [26,] -0.49304435  1.2214762 -0.34197504  0.1480331  1.1197206
##  [27,] -0.29021737 -0.8170409  1.13547557  1.1073643  0.6759235
##  [28,] -0.18880388 -0.8170409  0.02738761 -0.8112982  0.2321264
##  [29,] -0.39163086 -0.8170409 -1.08070034  0.1480331  0.6759235
##  [30,] -0.59445784 -0.8170409 -0.71133769  0.1480331  1.1197206
##  [31,]  0.82533104 -0.8170409 -1.81942565  0.1480331 -1.9868593
##  [32,] -0.59445784 -0.8170409 -2.18878830  0.1480331 -1.0992650
##  [33,] -0.39163086  1.2214762 -1.81942565 -0.8112982  0.6759235
##  [34,] -0.18880388 -0.8170409 -1.81942565  0.1480331 -1.5430621
##  [35,] -0.59445784  1.2214762  0.76611291  0.1480331  0.2321264
##  [36,] -0.59445784 -0.8170409  0.02738761 -0.8112982  0.2321264
##  [37,] -0.59445784  1.2214762 -1.45006299  1.1073643  1.1197206
##  [38,] -0.59445784  1.2214762 -0.71133769  1.1073643  0.2321264
##  [39,] -0.59445784  1.2214762 -1.08070034  0.1480331  1.1197206
##  [40,] -0.59445784  1.2214762  0.76611291  0.1480331  1.1197206
##  [41,] -0.59445784 -0.8170409 -0.34197504  0.1480331  1.1197206
##  [42,] -0.59445784  1.2214762 -0.34197504  1.1073643  1.1197206
##  [43,] -0.59445784  1.2214762 -2.18878830  1.1073643 -1.5430621
##  [44,] -0.59445784  1.2214762 -1.81942565 -0.8112982  1.1197206
##  [45,] -0.59445784 -0.8170409  0.02738761  1.1073643  1.1197206
##  [46,]  0.11543660 -0.8170409 -2.18878830  0.1480331 -0.6554679
##  [47,] -0.59445784 -0.8170409 -1.45006299  0.1480331  1.1197206
##  [48,] -0.59445784 -0.8170409 -0.34197504  0.1480331  0.2321264
##  [49,] -0.59445784  1.2214762 -2.18878830  0.1480331  1.1197206
##  [50,] -0.59445784  1.2214762  1.50483822  1.1073643  0.2321264
##  [51,] -0.29021737 -0.8170409  1.13547557 -0.8112982  0.6759235
##  [52,]  1.94087945  1.2214762 -0.34197504  0.1480331  0.2321264
##  [53,] -0.59445784  1.2214762  1.13547557  0.1480331  0.2321264
##  [54,] -0.59445784 -0.8170409 -1.45006299  1.1073643  1.1197206
##  [55,] -0.59445784 -0.8170409  0.02738761  1.1073643  0.6759235
##  [56,] -0.59445784  1.2214762  0.39675026  1.1073643  0.6759235
##  [57,] -0.49304435 -0.8170409 -2.18878830  1.1073643  1.1197206
##  [58,] -0.59445784 -0.8170409 -0.34197504 -0.8112982  1.1197206
##  [59,] -0.59445784 -0.8170409 -1.08070034  1.1073643  1.1197206
##  [60,]  2.44794691  1.2214762  0.02738761 -0.8112982 -0.2116708
##  [61,]  2.44794691  1.2214762  0.02738761  1.1073643  1.1197206
##  [62,]  0.01402311 -0.8170409  1.13547557 -1.7706294 -0.6554679
##  [63,]  0.11543660 -0.8170409  0.76611291  1.1073643 -0.2116708
##  [64,] -0.59445784  1.2214762  0.76611291  1.1073643  0.6759235
##  [65,] -0.39163086  1.2214762 -2.18878830  1.1073643  1.1197206
##  [66,]  2.44794691 -0.8170409 -0.71133769 -1.7706294 -1.0992650
##  [67,] -0.59445784  1.2214762 -1.08070034  0.1480331  1.1197206
##  [68,] -0.59445784  1.2214762  0.39675026  1.1073643  1.1197206
##  [69,]  0.11543660 -0.8170409 -0.34197504  0.1480331  0.2321264
##  [70,] -0.59445784 -0.8170409 -2.18878830  1.1073643  0.6759235
##  [71,]  0.11543660  1.2214762 -1.81942565  1.1073643  1.1197206
##  [72,] -0.59445784 -0.8170409 -1.45006299  1.1073643  1.1197206
##  [73,]  2.44794691  1.2214762  0.02738761 -0.8112982 -1.9868593
##  [74,] -0.59445784  1.2214762 -0.71133769  0.1480331  0.2321264
##  [75,] -0.59445784 -0.8170409  1.50483822 -0.8112982 -1.0992650
##  [76,] -0.59445784 -0.8170409  0.39675026  0.1480331 -1.5430621
##  [77,] -0.59445784 -0.8170409 -1.45006299  0.1480331  0.2321264
##  [78,] -0.59445784  1.2214762 -0.34197504  0.1480331  0.6759235
##  [79,]  0.41967708 -0.8170409 -2.18878830  0.1480331 -0.6554679
##  [80,] -0.59445784 -0.8170409  0.76611291  0.1480331 -0.6554679
##  [81,] -0.59445784 -0.8170409 -0.71133769  1.1073643  1.1197206
##  [82,]  1.53522548 -0.8170409 -0.71133769  0.1480331  1.1197206
##  [83,]  2.44794691 -0.8170409 -1.08070034  0.1480331 -1.9868593
##  [84,] -0.59445784 -0.8170409  1.13547557 -0.8112982  0.6759235
##  [85,] -0.59445784  1.2214762 -0.34197504  1.1073643  1.1197206
##  [86,] -0.49304435 -0.8170409 -2.55815095  1.1073643  1.1197206
##  [87,] -0.59445784 -0.8170409 -1.81942565  1.1073643  1.1197206
##  [88,]  1.43381199 -0.8170409 -0.71133769 -0.8112982 -1.0992650
##  [89,]  2.44794691 -0.8170409  0.02738761  0.1480331  0.2321264
##  [90,] -0.59445784  1.2214762  1.13547557  1.1073643 -0.2116708
##  [91,] -0.59445784 -0.8170409  0.39675026 -0.8112982 -0.2116708
##  [92,] -0.59445784  1.2214762 -0.71133769  0.1480331  1.1197206
##  [93,]  2.44794691  1.2214762  1.13547557  0.1480331 -0.6554679
##  [94,] -0.59445784  1.2214762 -0.34197504  1.1073643  0.6759235
##  [95,]  1.43381199 -0.8170409 -0.71133769  1.1073643 -1.9868593
##  [96,] -0.59445784 -0.8170409  1.50483822  1.1073643 -0.6554679
##  [97,] -0.29021737 -0.8170409  0.02738761 -0.8112982  0.2321264
##  [98,] -0.49304435 -0.8170409  0.39675026  1.1073643  1.1197206
##  [99,] -0.59445784 -0.8170409  0.39675026  0.1480331  0.2321264
## [100,] -0.59445784 -0.8170409 -1.45006299 -0.8112982 -0.6554679
## [101,]  0.82533104 -0.8170409  1.50483822  0.1480331  0.6759235
## [102,] -0.18880388 -0.8170409  0.76611291  1.1073643  0.2321264
## [103,] -0.59445784  1.2214762 -1.81942565  1.1073643  0.6759235
## [104,]  2.44794691 -0.8170409 -0.34197504 -1.7706294 -1.9868593
## [105,] -0.59445784  1.2214762 -1.45006299 -0.8112982  1.1197206
## [106,]  2.44794691 -0.8170409  1.13547557 -0.8112982 -0.2116708
## [107,] -0.59445784 -0.8170409  0.39675026 -0.8112982  0.6759235
## [108,] -0.39163086  1.2214762 -1.08070034  1.1073643  1.1197206
## [109,] -0.59445784  1.2214762  0.02738761  1.1073643  1.1197206
## [110,]  2.44794691  1.2214762  0.02738761 -0.8112982  0.2321264
## [111,] -0.59445784 -0.8170409  0.39675026  0.1480331  1.1197206
## [112,] -0.59445784  1.2214762 -1.08070034 -0.8112982 -0.2116708
## [113,] -0.59445784 -0.8170409  0.39675026  0.1480331 -0.2116708
## [114,] -0.59445784 -0.8170409  0.76611291  1.1073643 -0.2116708
## [115,]  2.44794691 -0.8170409 -0.34197504  0.1480331  0.2321264
## [116,] -0.59445784  1.2214762 -1.45006299  1.1073643  0.6759235
## [117,] -0.18880388 -0.8170409 -1.08070034 -0.8112982  1.1197206
## [118,] -0.59445784  1.2214762 -1.81942565 -0.8112982  0.2321264
## [119,] -0.59445784  1.2214762  0.39675026  1.1073643  1.1197206
## [120,] -0.49304435 -0.8170409 -2.18878830 -0.8112982  1.1197206
## [121,] -0.18880388  1.2214762 -1.08070034 -0.8112982 -0.6554679
## [122,] -0.59445784  1.2214762 -2.92751360  0.1480331  1.1197206
## [123,] -0.08739038 -0.8170409 -1.08070034  0.1480331  0.2321264
## [124,]  0.41967708 -0.8170409  0.02738761  0.1480331  1.1197206
## [125,] -0.59445784  1.2214762 -2.55815095  1.1073643  0.6759235
## [126,] -0.59445784  1.2214762 -0.34197504  1.1073643  1.1197206
## [127,] -0.59445784 -0.8170409  1.50483822 -0.8112982 -1.0992650
## [128,] -0.59445784 -0.8170409 -0.34197504  1.1073643  1.1197206
## [129,] -0.59445784 -0.8170409  0.76611291  1.1073643  1.1197206
## [130,] -0.39163086  1.2214762  0.39675026  1.1073643  0.6759235
## [131,]  1.94087945 -0.8170409 -0.34197504 -1.7706294 -1.9868593
## [132,] -0.59445784  1.2214762 -1.45006299  1.1073643  1.1197206
## [133,] -0.39163086  1.2214762  0.02738761  1.1073643  1.1197206
## [134,] -0.59445784  1.2214762  0.39675026 -0.8112982 -0.2116708
## [135,] -0.59445784 -0.8170409  0.02738761  1.1073643  1.1197206
## [136,]  2.44794691  1.2214762  1.13547557  1.1073643  0.6759235
## [137,] -0.59445784 -0.8170409  0.02738761  0.1480331  0.6759235
## [138,] -0.59445784  1.2214762  1.13547557 -1.7706294  0.2321264
## [139,] -0.59445784  1.2214762 -0.71133769  0.1480331  1.1197206
## [140,] -0.59445784  1.2214762 -0.71133769  1.1073643  1.1197206
## [141,]  1.43381199 -0.8170409  0.76611291 -1.7706294 -0.6554679
## [142,] -0.59445784  1.2214762 -0.34197504  0.1480331  0.6759235
## [143,] -0.39163086  1.2214762 -0.71133769 -0.8112982 -0.6554679
## [144,]  0.11543660  1.2214762  1.50483822 -0.8112982 -0.6554679
## [145,] -0.49304435 -0.8170409 -0.71133769  0.1480331  1.1197206
## [146,] -0.59445784 -0.8170409 -2.18878830  1.1073643  0.6759235
## [147,] -0.59445784  1.2214762  0.76611291  1.1073643  1.1197206
## [148,] -0.59445784 -0.8170409 -0.34197504  0.1480331 -0.2116708
## [149,] -0.59445784  1.2214762  0.39675026 -0.8112982 -0.2116708
## [150,] -0.59445784  1.2214762 -2.92751360  1.1073643  0.6759235
## [151,]  0.21685009  1.2214762  1.50483822  1.1073643  0.6759235
## [152,]  2.44794691  1.2214762  0.39675026 -0.8112982  1.1197206
## [153,] -0.18880388 -0.8170409  0.02738761  1.1073643  0.6759235
## [154,] -0.59445784 -0.8170409  0.02738761  1.1073643  1.1197206
## [155,] -0.59445784 -0.8170409  0.02738761  0.1480331 -0.2116708
## [156,] -0.39163086 -0.8170409 -1.81942565  1.1073643  0.6759235
## [157,] -0.49304435 -0.8170409  0.39675026  0.1480331 -0.2116708
## [158,] -0.59445784  1.2214762  0.39675026  0.1480331  1.1197206
## [159,] -0.59445784  1.2214762 -0.34197504  1.1073643 -1.9868593
## [160,] -0.49304435 -0.8170409  0.02738761 -0.8112982  0.6759235
## [161,] -0.59445784 -0.8170409 -0.34197504  1.1073643  1.1197206
## [162,] -0.59445784  1.2214762  0.76611291  1.1073643  1.1197206
## [163,] -0.59445784 -0.8170409 -1.08070034  1.1073643  1.1197206
## [164,]  2.44794691 -0.8170409 -0.71133769 -0.8112982 -0.6554679
## [165,] -0.59445784 -0.8170409 -1.81942565 -0.8112982  0.6759235
## [166,] -0.59445784  1.2214762 -1.81942565  1.1073643  1.1197206
## [167,] -0.59445784  1.2214762  0.39675026  1.1073643  1.1197206
## [168,] -0.59445784 -0.8170409 -1.45006299  0.1480331 -1.9868593
## [169,] -0.59445784  1.2214762 -0.71133769 -2.7299606 -0.6554679
## [170,] -0.59445784 -0.8170409 -0.71133769  1.1073643  1.1197206
## [171,]  0.82533104  1.2214762  0.39675026 -0.8112982 -0.2116708
## [172,] -0.59445784  1.2214762  0.02738761  0.1480331  1.1197206
## [173,] -0.59445784 -0.8170409 -1.08070034  1.1073643  1.1197206
## [174,] -0.59445784  1.2214762  0.02738761  1.1073643  1.1197206
## [175,] -0.59445784 -0.8170409  0.39675026  0.1480331  0.2321264
## [176,] -0.59445784 -0.8170409  1.13547557  0.1480331  0.6759235
## [177,] -0.49304435  1.2214762 -1.45006299  0.1480331  1.1197206
## [178,] -0.29021737 -0.8170409 -0.34197504  0.1480331  1.1197206
## [179,] -0.59445784 -0.8170409 -0.34197504 -0.8112982  1.1197206
## [180,] -0.29021737 -0.8170409 -2.55815095  0.1480331  0.2321264
## [181,]  0.11543660 -0.8170409  0.76611291 -0.8112982 -0.6554679
## [182,] -0.39163086 -0.8170409 -1.81942565  0.1480331  0.2321264
## [183,] -0.59445784 -0.8170409 -0.34197504  1.1073643  0.6759235
## [184,] -0.18880388  1.2214762  0.76611291  1.1073643  1.1197206
## [185,] -0.59445784  1.2214762  0.02738761 -0.8112982 -1.5430621
## [186,] -0.59445784  1.2214762  1.13547557 -0.8112982  0.6759235
## [187,] -0.59445784 -0.8170409 -1.81942565 -0.8112982 -0.2116708
## [188,]  2.44794691  1.2214762 -1.45006299  1.1073643  1.1197206
## [189,] -0.59445784 -0.8170409 -0.71133769  0.1480331  1.1197206
## [190,]  2.44794691  1.2214762 -0.71133769  0.1480331 -0.6554679
## [191,]  0.11543660  1.2214762  0.76611291  1.1073643  1.1197206
## [192,] -0.39163086 -0.8170409  0.02738761  0.1480331 -1.5430621
## [193,] -0.59445784  1.2214762 -1.08070034  1.1073643  0.2321264
## [194,]  0.92674453 -0.8170409 -1.08070034 -0.8112982 -1.5430621
## [195,] -0.08739038 -0.8170409 -1.45006299  1.1073643  0.6759235
## [196,] -0.49304435  1.2214762  0.39675026  1.1073643  1.1197206
## [197,]  0.41967708 -0.8170409  0.39675026 -0.8112982 -0.2116708
## [198,] -0.59445784 -0.8170409 -1.08070034 -0.8112982  0.2321264
## [199,] -0.59445784 -0.8170409  1.13547557  0.1480331  0.6759235
## [200,]  2.44794691 -0.8170409 -0.34197504  0.1480331 -1.5430621
## [201,] -0.59445784 -0.8170409 -0.71133769  1.1073643  1.1197206
## [202,] -0.59445784  1.2214762 -2.92751360  0.1480331 -1.5430621
## [203,] -0.59445784 -0.8170409  1.50483822 -1.7706294 -1.0992650
## [204,] -0.59445784 -0.8170409 -0.34197504  0.1480331 -0.6554679
## [205,] -0.59445784  1.2214762  0.02738761  1.1073643  0.6759235
## [206,] -0.59445784 -0.8170409  0.02738761  1.1073643  1.1197206
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## [382,]  0.41967708 -0.8170409  0.76611291  1.1073643  1.1197206
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## [389,] -0.59445784  1.2214762  1.50483822 -0.8112982 -0.2116708
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## [391,] -0.59445784 -0.8170409  0.39675026 -0.8112982 -1.5430621
## [392,] -0.59445784 -0.8170409 -0.34197504  1.1073643  1.1197206
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## [407,] -0.59445784 -0.8170409  0.76611291 -0.8112982 -0.6554679
## [408,]  2.44794691  1.2214762  0.39675026  0.1480331  0.2321264
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## [410,] -0.08739038  1.2214762  0.39675026  1.1073643  1.1197206
## [411,] -0.39163086 -0.8170409  1.13547557  0.1480331 -0.2116708
## [412,] -0.59445784 -0.8170409 -1.45006299  1.1073643 -1.9868593
## [413,] -0.18880388 -0.8170409  0.39675026  1.1073643 -1.0992650
## [414,]  2.44794691 -0.8170409  1.13547557 -1.7706294 -1.5430621
## [415,] -0.59445784  1.2214762  0.39675026  1.1073643  0.2321264
## [416,]  0.41967708  1.2214762  0.02738761  1.1073643 -1.0992650
## [417,] -0.59445784 -0.8170409 -0.34197504  0.1480331 -0.2116708
## [418,] -0.18880388 -0.8170409 -0.71133769  1.1073643 -1.0992650
## [419,] -0.59445784  1.2214762  1.13547557 -0.8112982 -0.6554679
## [420,] -0.59445784 -0.8170409  0.76611291  1.1073643  0.2321264
## [421,] -0.59445784 -0.8170409  0.02738761 -1.7706294 -1.5430621
## [422,] -0.59445784 -0.8170409 -0.71133769 -0.8112982 -1.0992650
## [423,]  0.92674453 -0.8170409  1.13547557  0.1480331 -1.5430621
## [424,]  2.44794691  1.2214762  0.76611291  1.1073643  1.1197206
## [425,] -0.59445784 -0.8170409  0.76611291  1.1073643 -0.2116708
## [426,]  0.41967708  1.2214762  0.39675026  1.1073643  1.1197206
## [427,] -0.59445784  1.2214762  1.13547557  1.1073643  1.1197206
## [428,] -0.39163086  1.2214762  0.39675026  0.1480331  0.2321264
## [429,]  0.11543660 -0.8170409 -1.08070034  1.1073643  1.1197206
## [430,] -0.59445784  1.2214762  0.39675026  1.1073643  0.2321264
## [431,] -0.59445784  1.2214762  0.39675026  1.1073643  0.2321264
## [432,] -0.59445784  1.2214762  0.39675026  0.1480331 -0.2116708
## [433,]  0.41967708 -0.8170409  1.13547557 -0.8112982 -1.5430621
## [434,]  2.44794691  1.2214762  1.50483822 -0.8112982 -0.2116708
## [435,] -0.39163086 -0.8170409  0.76611291  1.1073643  0.6759235
## [436,]  2.44794691 -0.8170409  0.02738761  1.1073643  0.6759235
## [437,] -0.59445784 -0.8170409 -0.71133769  0.1480331  1.1197206
## [438,] -0.59445784  1.2214762  0.02738761  0.1480331 -0.2116708
## [439,]  2.44794691 -0.8170409 -0.71133769  0.1480331  0.6759235
## [440,] -0.18880388 -0.8170409  0.39675026 -0.8112982 -1.0992650
## [441,] -0.59445784  1.2214762  0.76611291 -0.8112982  0.6759235
## [442,]  2.44794691  1.2214762  0.76611291 -0.8112982  0.2321264
## [443,] -0.39163086 -0.8170409  0.76611291  0.1480331 -0.6554679
## [444,] -0.18880388  1.2214762  0.76611291  1.1073643  0.6759235
## [445,]  0.82533104 -0.8170409  1.13547557  1.1073643 -0.2116708
## [446,] -0.59445784 -0.8170409  0.39675026 -1.7706294 -1.0992650
## [447,] -0.08739038 -0.8170409  0.76611291  1.1073643 -0.2116708
## [448,]  2.44794691 -0.8170409  0.76611291 -0.8112982 -0.2116708
## [449,] -0.08739038 -0.8170409  0.76611291  1.1073643  1.1197206
## [450,] -0.59445784 -0.8170409  0.39675026 -1.7706294 -1.9868593
## [451,]  0.41967708 -0.8170409 -0.71133769 -0.8112982 -1.9868593
## [452,] -0.59445784  1.2214762 -1.08070034  1.1073643 -0.2116708
## [453,]  0.41967708 -0.8170409  0.39675026 -0.8112982 -1.5430621
## [454,] -0.59445784 -0.8170409 -0.34197504  0.1480331  1.1197206
## [455,]  1.53522548 -0.8170409  0.76611291 -1.7706294  0.2321264
## [456,] -0.59445784  1.2214762  1.50483822  1.1073643 -1.0992650
## [457,]  0.92674453 -0.8170409  0.39675026 -1.7706294 -1.0992650
## [458,]  0.11543660 -0.8170409  0.39675026  0.1480331 -0.2116708
## [459,] -0.59445784  1.2214762  0.39675026 -0.8112982  0.6759235
## [460,]  1.43381199 -0.8170409 -0.71133769 -2.7299606 -0.2116708
## [461,] -0.59445784  1.2214762  0.76611291 -0.8112982  0.2321264
## [462,] -0.59445784 -0.8170409 -1.81942565 -0.8112982 -0.6554679
## [463,]  2.44794691  1.2214762  1.50483822  0.1480331  0.2321264
## [464,]  2.44794691 -0.8170409  0.39675026  0.1480331  0.2321264
## [465,] -0.59445784 -0.8170409  0.39675026 -0.8112982 -1.0992650
## [466,]  0.41967708 -0.8170409 -0.71133769 -0.8112982 -1.0992650
## [467,] -0.39163086 -0.8170409  0.76611291  1.1073643 -0.2116708
## [468,] -0.59445784 -0.8170409  0.02738761 -0.8112982 -1.9868593
## [469,] -0.59445784 -0.8170409  0.76611291 -1.7706294 -1.5430621
## [470,] -0.59445784 -0.8170409  1.13547557 -0.8112982 -1.5430621
## [471,] -0.59445784  1.2214762 -0.34197504  0.1480331  1.1197206
## [472,] -0.59445784 -0.8170409 -0.71133769  0.1480331 -0.2116708
## [473,] -0.59445784  1.2214762 -0.34197504  1.1073643  0.6759235
## [474,] -0.08739038 -0.8170409  0.02738761  0.1480331 -0.2116708
## [475,] -0.59445784  1.2214762 -1.08070034 -1.7706294 -0.2116708
## [476,] -0.39163086 -0.8170409  0.39675026 -0.8112982  0.6759235
## [477,] -0.59445784 -0.8170409  0.39675026 -0.8112982 -0.6554679
## [478,]  1.02815803 -0.8170409 -0.34197504 -0.8112982 -1.0992650
## [479,]  2.44794691 -0.8170409 -0.71133769 -0.8112982 -1.9868593
## [480,] -0.59445784 -0.8170409  1.50483822  1.1073643 -1.0992650
## [481,]  0.41967708 -0.8170409  1.50483822 -1.7706294 -1.5430621
## [482,] -0.59445784 -0.8170409  0.39675026 -0.8112982 -1.0992650
## [483,] -0.59445784  1.2214762  0.39675026  1.1073643  0.6759235
## [484,] -0.59445784  1.2214762  0.76611291  1.1073643  0.6759235
## [485,]  0.41967708  1.2214762  0.76611291  1.1073643  0.2321264
## [486,]  2.44794691 -0.8170409 -0.34197504 -0.8112982  0.6759235
## [487,]  0.82533104  1.2214762  1.50483822  1.1073643 -0.2116708
## [488,]  0.92674453 -0.8170409  0.39675026  0.1480331 -0.2116708
## [489,] -0.08739038  1.2214762  0.39675026 -0.8112982  0.6759235
## [490,]  2.44794691  1.2214762 -0.34197504  0.1480331 -0.6554679
## [491,] -0.59445784 -0.8170409 -0.34197504  0.1480331 -1.0992650
## [492,]  0.41967708 -0.8170409 -0.34197504 -1.7706294 -0.6554679
## [493,]  0.01402311 -0.8170409  0.76611291  0.1480331  0.6759235
## [494,] -0.59445784 -0.8170409  0.76611291 -0.8112982 -0.2116708
## [495,] -0.59445784  1.2214762  0.39675026  0.1480331  0.2321264
## [496,] -0.39163086  1.2214762  0.76611291 -0.8112982 -1.0992650
## [497,] -0.59445784 -0.8170409 -1.45006299  1.1073643  0.6759235
## [498,] -0.59445784  1.2214762  1.50483822 -2.7299606 -1.0992650
## [499,]  2.44794691 -0.8170409  1.13547557 -0.8112982 -1.5430621
## attr(,"scaled:center")
##               HighBP                  BMI               Smoker 
##           0.60521042          29.86573146           0.47294589 
##               Stroke HeartDiseaseorAttack         PhysActivity 
##           0.09018036           0.17635271           0.66533066 
##    HvyAlcoholConsump        AnyHealthcare              GenHlth 
##           0.04008016           0.94989980           2.90380762 
##             MentHlth             PhysHlth                  Sex 
##           3.73146293           5.86172345           0.40080160 
##                  Age            Education               Income 
##           8.92585170           4.84569138           5.47695391 
## attr(,"scaled:scale")
##               HighBP                  BMI               Smoker 
##            0.4892960            6.9764383            0.4997686 
##               Stroke HeartDiseaseorAttack         PhysActivity 
##            0.2867274            0.3815024            0.4723483 
##    HvyAlcoholConsump        AnyHealthcare              GenHlth 
##            0.1963441            0.2183706            1.1662789 
##             MentHlth             PhysHlth                  Sex 
##            7.8898053            9.8606209            0.4905527 
##                  Age            Education               Income 
##            2.7073663            1.0423928            2.2532818

#Logistic Regression

library(ggplot2)
library(cowplot)
## Warning: package 'cowplot' was built under R version 4.2.2
#library(regclass)
library(caret)
## Warning: package 'caret' was built under R version 4.2.3
## Loading required package: lattice
library(e1071)
## Warning: package 'e1071' was built under R version 4.2.3
library(pROC)
## Warning: package 'pROC' was built under R version 4.2.3
## Type 'citation("pROC")' for a citation.
## 
## Attaching package: 'pROC'
## The following objects are masked from 'package:stats':
## 
##     cov, smooth, var
data <- read.csv("C:/Users/vidhi/Downloads/Diabetes.csv")
data
##     Diabetes_binary HighBP BMI Smoker Stroke HeartDiseaseorAttack PhysActivity
## 1                 0      1  26      0      0                    0            1
## 2                 0      1  26      1      1                    0            0
## 3                 0      0  26      0      0                    0            1
## 4                 0      1  28      1      0                    0            1
## 5                 0      0  29      1      0                    0            1
## 6                 0      0  18      0      0                    0            1
## 7                 0      0  26      1      0                    0            1
## 8                 0      0  31      1      0                    0            0
## 9                 0      0  32      0      0                    0            1
## 10                0      0  27      1      0                    0            0
## 11                0      1  24      1      0                    1            1
## 12                0      0  21      0      0                    0            1
## 13                0      1  27      0      0                    0            1
## 14                0      1  58      0      0                    0            0
## 15                0      0  29      1      0                    0            1
## 16                0      0  18      1      0                    0            1
## 17                0      0  30      0      0                    0            1
## 18                0      0  30      1      0                    0            1
## 19                0      0  20      0      0                    0            1
## 20                0      1  26      0      0                    0            0
## 21                0      0  22      0      0                    0            1
## 22                0      1  29      1      0                    0            1
## 23                0      0  22      0      0                    0            1
## 24                0      0  30      0      0                    0            1
## 25                0      0  27      0      0                    0            1
## 26                0      0  28      0      0                    0            1
## 27                0      1  20      1      0                    0            0
## 28                0      1  32      0      0                    0            0
## 29                0      0  38      0      0                    0            1
## 30                0      0  40      1      0                    0            1
## 31                0      1  24      1      0                    0            1
## 32                0      0  24      1      0                    0            1
## 33                0      0  20      0      0                    0            1
## 34                0      0  20      0      0                    0            0
## 35                0      1  29      1      0                    1            1
## 36                0      0  24      0      0                    0            1
## 37                0      0  25      0      0                    0            0
## 38                0      0  36      1      0                    0            1
## 39                0      0  31      1      0                    0            1
## 40                0      0  27      1      0                    0            1
## 41                0      0  26      0      0                    0            1
## 42                0      0  27      0      0                    0            1
## 43                0      1  47      1      0                    0            0
## 44                0      1  38      1      0                    0            1
## 45                0      1  28      0      0                    0            1
## 46                0      0  20      1      0                    0            0
## 47                0      0  19      1      0                    0            1
## 48                0      0  25      0      0                    0            1
## 49                0      0  26      0      0                    0            1
## 50                0      1  22      0      0                    0            1
## 51                0      1  31      0      0                    0            1
## 52                0      0  30      1      0                    0            1
## 53                0      1  37      1      0                    1            1
## 54                0      0  31      0      0                    0            1
## 55                0      0  22      0      0                    0            1
## 56                0      0  26      0      0                    0            0
## 57                0      0  41      0      0                    0            0
## 58                0      1  22      1      0                    0            1
## 59                0      0  23      1      0                    0            1
## 60                0      1  34      1      0                    0            0
## 61                0      0  27      1      0                    0            1
## 62                0      1  38      0      0                    0            0
## 63                0      1  19      1      0                    1            1
## 64                0      0  29      0      0                    0            1
## 65                0      0  27      0      0                    0            1
## 66                0      0  24      1      1                    0            1
## 67                0      1  36      1      0                    0            1
## 68                0      1  35      1      0                    1            1
## 69                0      1  32      0      0                    0            1
## 70                0      0  42      0      0                    0            1
## 71                0      0  24      0      0                    0            1
## 72                0      0  25      1      0                    0            0
## 73                0      1  21      1      0                    0            0
## 74                0      0  23      0      0                    0            1
## 75                0      0  26      0      0                    0            1
## 76                0      1  31      1      0                    0            1
## 77                0      0  20      1      0                    0            1
## 78                0      0  37      0      0                    0            1
## 79                0      0  23      1      0                    0            1
## 80                0      1  34      1      0                    0            1
## 81                0      0  17      0      0                    0            1
## 82                0      0  37      1      0                    0            0
## 83                0      1  36      0      0                    0            1
## 84                0      0  21      0      0                    0            1
## 85                0      1  40      1      0                    0            1
## 86                0      0  22      0      0                    0            1
## 87                0      0  33      0      0                    0            1
## 88                0      1  26      1      1                    1            0
## 89                0      1  30      0      0                    0            0
## 90                0      0  32      1      0                    0            0
## 91                0      1  32      1      0                    0            1
## 92                0      0  23      0      0                    0            1
## 93                0      1  36      1      0                    1            0
## 94                0      0  30      0      0                    0            1
## 95                0      1  24      1      0                    1            0
## 96                0      0  22      0      0                    0            1
## 97                0      0  21      0      0                    0            1
## 98                0      0  35      0      0                    0            1
## 99                0      0  31      0      0                    0            1
## 100               0      0  47      0      0                    0            1
## 101               0      1  25      0      0                    0            0
## 102               0      0  31      0      0                    1            0
## 103               0      0  28      0      0                    0            1
## 104               0      1  28      1      0                    1            0
## 105               0      0  38      0      0                    0            1
## 106               0      1  27      0      0                    0            0
## 107               0      0  20      1      0                    0            1
## 108               0      0  31      1      0                    0            1
## 109               0      1  28      1      0                    0            0
## 110               0      0  44      1      0                    0            0
## 111               0      0  27      1      0                    0            1
## 112               0      0  26      1      0                    0            0
## 113               0      1  40      1      0                    0            1
## 114               0      1  27      1      0                    0            1
## 115               0      0  22      0      0                    0            1
## 116               0      0  21      0      0                    0            1
## 117               0      0  20      1      0                    0            1
## 118               0      1  27      1      0                    0            0
## 119               0      0  28      0      0                    0            0
## 120               0      0  31      1      0                    0            0
## 121               0      0  22      1      0                    0            1
## 122               0      0  36      0      0                    0            1
## 123               0      0  24      0      0                    0            1
## 124               0      0  28      0      0                    0            1
## 125               0      0  26      0      0                    0            1
## 126               0      0  30      1      0                    0            1
## 127               0      1  29      0      0                    1            1
## 128               0      1  24      0      0                    0            0
## 129               0      0  23      0      0                    0            1
## 130               0      0  27      1      0                    0            1
## 131               0      1  27      1      0                    0            1
## 132               0      0  30      0      0                    0            1
## 133               0      1  23      1      0                    0            1
## 134               0      1  36      1      0                    0            1
## 135               0      0  21      0      0                    0            1
## 136               0      1  29      1      1                    0            1
## 137               0      0  25      1      0                    0            1
## 138               0      0  29      1      0                    0            1
## 139               0      0  24      1      0                    0            1
## 140               0      1  27      1      0                    0            1
## 141               0      0  20      0      0                    1            1
## 142               0      1  37      1      0                    0            1
## 143               0      1  24      1      0                    0            1
## 144               0      0  25      1      0                    0            0
## 145               0      0  22      0      0                    0            1
## 146               0      0  23      0      0                    0            1
## 147               0      1  27      0      0                    0            1
## 148               0      1  26      1      0                    0            1
## 149               0      1  31      1      0                    1            1
## 150               0      0  22      0      0                    0            1
## 151               0      1  23      1      0                    1            1
## 152               0      0  25      1      0                    1            1
## 153               0      1  22      0      0                    0            1
## 154               0      0  29      0      0                    0            1
## 155               0      1  28      1      0                    0            1
## 156               0      0  31      0      0                    0            1
## 157               0      1  26      1      0                    0            0
## 158               0      1  28      1      0                    0            1
## 159               0      0  27      0      0                    0            1
## 160               0      0  28      1      0                    0            1
## 161               0      0  26      0      0                    0            1
## 162               0      1  24      0      0                    0            1
## 163               0      0  24      0      0                    0            1
## 164               0      1  29      0      0                    0            0
## 165               0      0  31      0      0                    0            1
## 166               0      0  35      0      0                    0            1
## 167               0      0  24      0      0                    0            1
## 168               0      0  26      0      0                    0            0
## 169               0      0  26      0      0                    1            0
## 170               0      0  27      0      0                    0            1
## 171               0      1  27      1      0                    0            1
## 172               0      1  32      0      0                    0            0
## 173               0      1  31      0      0                    0            1
## 174               0      0  24      0      0                    0            1
## 175               0      1  34      1      0                    0            1
## 176               0      0  31      0      0                    0            1
## 177               0      0  36      1      0                    0            1
## 178               0      1  47      0      0                    0            1
## 179               0      1  27      0      0                    0            1
## 180               0      0  31      0      0                    0            1
## 181               0      0  15      1      1                    1            0
## 182               0      0  23      1      0                    0            1
## 183               0      1  32      1      0                    0            1
## 184               0      1  29      1      0                    0            1
## 185               0      0  21      0      0                    0            1
## 186               0      0  21      1      1                    0            1
## 187               0      0  30      0      0                    0            1
## 188               0      0  30      0      0                    0            1
## 189               0      0  25      0      0                    0            1
## 190               0      0  19      1      0                    0            1
## 191               0      0  33      1      0                    0            1
## 192               0      1  28      0      1                    1            0
## 193               0      1  52      1      0                    0            1
## 194               0      1  31      1      0                    0            1
## 195               0      0  25      0      0                    0            1
## 196               0      1  25      1      0                    1            1
## 197               0      1  25      1      0                    1            1
## 198               0      0  31      1      0                    0            1
## 199               0      1  29      1      0                    0            1
## 200               0      0  69      0      0                    0            0
## 201               0      0  30      1      0                    1            1
## 202               0      0  29      0      0                    0            0
## 203               0      1  22      1      0                    0            1
## 204               0      0  22      1      0                    0            0
## 205               0      1  30      0      0                    0            1
## 206               0      0  21      1      0                    0            1
## 207               0      0  34      0      0                    0            1
## 208               0      0  25      0      0                    0            1
## 209               0      1  27      0      0                    0            1
## 210               0      1  27      0      0                    0            1
## 211               0      0  23      1      0                    0            1
## 212               0      1  36      0      0                    0            1
## 213               0      1  38      1      0                    0            1
## 214               0      1  28      1      0                    1            0
## 215               0      1  26      0      1                    1            1
## 216               0      1  22      0      0                    0            1
## 217               0      1  30      1      0                    0            1
## 218               0      0  24      0      0                    0            1
## 219               0      0  19      0      0                    0            1
## 220               0      0  28      0      0                    0            0
## 221               0      0  31      1      0                    0            1
## 222               0      1  32      0      0                    0            1
## 223               0      0  24      0      0                    0            1
## 224               0      1  25      0      0                    0            1
## 225               0      0  32      0      0                    0            1
## 226               0      0  21      0      0                    0            1
## 227               0      0  25      0      0                    1            1
## 228               0      0  22      1      0                    0            1
## 229               0      1  27      1      0                    0            1
## 230               0      0  25      0      0                    0            1
## 231               0      1  28      1      1                    1            0
## 232               0      1  27      0      0                    1            1
## 233               0      0  33      1      0                    0            1
## 234               0      0  34      0      0                    0            1
## 235               0      1  37      0      0                    0            1
## 236               0      0  25      1      0                    0            1
## 237               0      0  22      0      0                    0            1
## 238               0      0  23      1      0                    0            1
## 239               0      1  28      1      0                    0            1
## 240               0      1  36      1      0                    1            1
## 241               0      0  19      0      0                    0            1
## 242               0      1  28      0      0                    0            0
## 243               0      0  29      1      0                    0            1
## 244               0      0  23      1      0                    0            1
## 245               0      1  33      1      0                    0            1
## 246               0      0  25      1      0                    0            1
## 247               0      1  22      0      0                    0            1
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##     HvyAlcoholConsump AnyHealthcare GenHlth MentHlth PhysHlth Sex Age Education
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## 269                 0             1       4        2       30   0   9         6
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## 271                 1             1       3        0        0   1  11         5
## 272                 0             1       4       30       10   0  11         5
## 273                 0             1       5       15       30   0   9         2
## 274                 0             0       4        0        3   0   3         5
## 275                 0             1       2        0        0   1   9         6
## 276                 0             1       3        0        0   1   7         4
## 277                 0             1       4        0       10   0   7         6
## 278                 0             1       3        0        0   1  12         4
## 279                 0             1       2        0        0   0   8         6
## 280                 1             1       3        0        0   1   8         5
## 281                 0             0       4        2        3   0   8         4
## 282                 0             1       2        0        0   0  12         5
## 283                 0             1       5        3       30   0   8         5
## 284                 0             1       3        0        0   0  11         6
## 285                 0             1       3       14       14   0   9         6
## 286                 0             1       3        0        2   1  10         3
## 287                 0             1       4        2        2   0   8         4
## 288                 0             1       3        0        5   0  10         5
## 289                 0             1       2        0        0   1  10         5
## 290                 0             1       4        0       30   0  12         5
## 291                 0             1       4        0       15   1  10         5
## 292                 0             1       3        0        0   0  13         6
## 293                 0             1       4        0        2   0  11         6
## 294                 0             1       4       15       15   0  12         4
## 295                 0             1       4        0       15   0  11         5
## 296                 0             1       3        4        2   0   9         5
## 297                 0             1       4        0        0   0  12         4
## 298                 0             1       3        0        0   0  10         5
## 299                 0             1       5       15       30   1   8         5
## 300                 0             1       2        0        0   1  12         6
## 301                 0             1       3        0       28   1   8         4
## 302                 0             1       1        0        0   1   6         5
## 303                 0             1       4        0        0   0  10         6
## 304                 0             1       2        0        0   0  13         5
## 305                 0             1       2        0       14   0  13         4
## 306                 0             1       4        0        0   1  11         3
## 307                 0             1       3        0        0   1  10         6
## 308                 0             1       4        0        0   1  10         5
## 309                 0             1       3        0        0   0  11         5
## 310                 0             1       4       10       15   0  10         6
## 311                 0             1       4       14        2   0  10         4
## 312                 0             1       2        0        0   1   9         5
## 313                 0             1       2        0        0   0  11         6
## 314                 0             1       4        3        0   0  11         4
## 315                 0             1       4        0        5   0  12         3
## 316                 0             1       3        0        0   0   8         6
## 317                 0             1       5       10       15   0   6         3
## 318                 0             1       4        0       14   0   9         4
## 319                 0             1       3        7        0   0  13         4
## 320                 0             1       3        0        0   1  13         5
## 321                 0             1       3        0        2   0  13         6
## 322                 0             1       4       10       15   0   8         3
## 323                 0             1       5        0       27   0   7         4
## 324                 0             1       5       15       30   1   8         4
## 325                 0             1       4        3        6   1  12         2
## 326                 0             1       3        0        0   0  10         4
## 327                 0             1       3        0        0   0   9         4
## 328                 0             1       1        0        0   1  10         3
## 329                 0             1       4        0        0   1   6         5
## 330                 0             1       4        0        5   1   8         4
## 331                 0             1       5       20       20   1  11         4
## 332                 0             1       4        5       15   0  11         3
## 333                 0             1       3        0        0   0  13         5
## 334                 0             1       4       16        8   0   4         5
## 335                 0             1       4        0       10   1  10         4
## 336                 0             1       4        0        2   0   8         4
## 337                 0             1       3        0       10   0   9         6
## 338                 0             1       3        0        0   0  13         6
## 339                 0             1       3        0        7   0  10         2
## 340                 0             1       4        3       30   1  10         4
## 341                 0             1       4        0        0   0   8         5
## 342                 0             1       3        0        0   0  10         4
## 343                 0             1       5        0       30   0   9         5
## 344                 0             1       4        0        0   0   9         4
## 345                 0             0       4        2        0   0   9         6
## 346                 0             1       2        2        2   1  10         6
## 347                 0             1       4        4        0   0  11         4
## 348                 0             0       3       10       15   0  10         3
## 349                 0             1       5       25       30   1  10         4
## 350                 1             1       4        2        6   1   9         4
## 351                 0             1       4        0       14   1   8         4
## 352                 0             1       5        3        5   0  10         4
## 353                 0             1       3       20        1   0  10         5
## 354                 0             1       2        0        7   1  10         6
## 355                 0             0       3        5        0   0   9         5
## 356                 1             1       2        0        0   0  10         6
## 357                 0             1       4        3       30   0   8         4
## 358                 0             1       3        0        3   1  10         5
## 359                 0             1       3        5       30   1  11         5
## 360                 0             1       4        0        0   0   9         3
## 361                 0             1       3        0        0   0  10         5
## 362                 0             1       5        7       30   0   8         3
## 363                 0             1       2        0        0   0  10         6
## 364                 0             1       4        0        0   1  12         5
## 365                 0             1       2        0        0   0  10         4
## 366                 0             1       3        0       10   1  12         6
## 367                 0             1       4        0       15   0   8         5
## 368                 0             1       3        0        3   0   9         4
## 369                 0             1       4        0        0   1  12         6
## 370                 0             1       2        0        0   1  10         6
## 371                 0             1       3        0        0   0  11         4
## 372                 0             1       2        0        0   0  12         5
## 373                 0             1       2        0        0   1  11         4
## 374                 0             1       2        0        0   0  12         6
## 375                 0             1       4       15       10   1   9         4
## 376                 0             1       3        0        0   1  11         6
## 377                 0             1       3       30        0   1  10         4
## 378                 0             0       2        0        0   0   9         5
## 379                 0             0       2        2        0   0   9         4
## 380                 0             1       3        0        7   1  13         4
## 381                 0             1       4       30        0   1   9         5
## 382                 0             1       3       30       10   0  11         6
## 383                 0             1       5       30       20   0   9         1
## 384                 0             1       5       10       15   0   7         4
## 385                 0             1       4        0       30   0  10         3
## 386                 0             1       4       15       12   0  10         4
## 387                 0             1       3        0        0   0   9         4
## 388                 0             1       3        0        0   1  10         2
## 389                 0             1       3        0        0   1  13         4
## 390                 0             1       3       30        3   0   9         5
## 391                 0             1       3        0        0   0  10         4
## 392                 0             1       3        0        0   0   8         6
## 393                 0             1       5        0       30   1  13         3
## 394                 0             1       3        0        1   0  11         5
## 395                 0             1       1        3        0   0  12         4
## 396                 0             1       2        0        0   1  11         4
## 397                 0             1       3        0        2   0   9         6
## 398                 0             1       5       30       30   0  12         5
## 399                 0             1       3       10        0   0  13         5
## 400                 0             1       5       30       30   1  11         2
## 401                 0             1       3        0        0   0  11         5
## 402                 0             1       3        0        0   0   8         4
## 403                 0             1       2        0        5   0  10         4
## 404                 0             1       4        0        3   0  11         4
## 405                 0             1       3        1        0   1   9         6
## 406                 0             1       4        0        0   0   9         5
## 407                 0             1       3        0        0   0  11         4
## 408                 1             1       3        0       30   1  10         5
## 409                 0             1       4        0        4   0  12         2
## 410                 0             1       3        0        5   1  10         6
## 411                 0             1       3        0        2   0  12         5
## 412                 0             0       3        0        0   0   5         6
## 413                 0             1       4        0        4   0  10         6
## 414                 0             1       5       10       30   0  12         3
## 415                 0             1       3       15        0   1  10         6
## 416                 0             1       3       30       10   1   9         6
## 417                 0             1       3        0        0   0   8         5
## 418                 0             1       5       10        4   0   7         6
## 419                 0             1       3        0        0   1  12         4
## 420                 0             1       3        0        0   0  11         6
## 421                 0             0       4       30        0   0   9         3
## 422                 0             1       3       15        0   0   7         4
## 423                 0             1       2        0       15   0  12         5
## 424                 0             1       4        4       30   1  11         6
## 425                 0             1       2        1        0   0  11         6
## 426                 0             1       3        0       10   1  10         6
## 427                 0             1       2        0        0   1  12         6
## 428                 0             1       3        0        2   1  10         5
## 429                 0             1       2        0        7   0   6         6
## 430                 0             1       3        0        0   1  10         6
## 431                 0             1       2        0        0   1  10         6
## 432                 0             1       3        0        0   1  10         5
## 433                 0             1       4       10       10   0  12         4
## 434                 0             1       5        0       30   1  13         4
## 435                 0             1       5        2        2   0  11         6
## 436                 0             1       5        0       30   0   9         6
## 437                 0             1       2        0        0   0   7         5
## 438                 0             1       4        0        0   1   9         5
## 439                 0             1       5       30       30   0   7         5
## 440                 0             1       3        0        4   0  10         4
## 441                 0             1       1        0        0   1  11         4
## 442                 0             1       5        0       30   1  11         4
## 443                 0             1       4        0        2   0  11         5
## 444                 0             1       3        0        4   1  11         6
## 445                 0             1       3        1       14   0  12         6
## 446                 0             1       3        6        0   0  10         3
## 447                 0             1       3        0        5   0  11         6
## 448                 0             1       4        0       30   0  11         4
## 449                 0             1       3        0        5   0  11         6
## 450                 0             1       5        0        0   0  10         3
## 451                 0             1       3       14       10   0   7         4
## 452                 0             1       3        0        0   1   6         6
## 453                 0             1       4        0       10   0  10         4
## 454                 0             1       3        3        0   0   8         5
## 455                 0             1       4        0       21   0  11         3
## 456                 0             1       2       15        0   1  13         6
## 457                 0             1       5        0       15   0  10         3
## 458                 0             1       4        0        7   0  10         5
## 459                 0             1       4        0        0   1  10         4
## 460                 0             1       5       20       20   0   7         2
## 461                 0             1       4        0        0   1  11         4
## 462                 0             1       1        5        0   0   4         4
## 463                 0             1       4        0       30   1  13         5
## 464                 0             1       5        3       30   0  10         5
## 465                 0             1       3        0        0   0  10         4
## 466                 0             1       5        0       10   0   7         4
## 467                 0             1       4        3        2   0  11         6
## 468                 0             1       4        0        0   0   9         4
## 469                 0             1       4       15        0   0  11         3
## 470                 0             1       3        0        0   0  12         4
## 471                 0             1       3        0        0   1   8         5
## 472                 0             1       3        0        0   0   7         5
## 473                 0             1       3        0        0   1   8         6
## 474                 0             1       3        7        5   0   9         5
## 475                 0             1       4        0        0   1   6         3
## 476                 0             1       2        0        2   0  10         4
## 477                 0             1       3        0        0   0  10         4
## 478                 0             1       4        0       16   0   8         4
## 479                 0             0       5       30       30   0   7         4
## 480                 0             1       2        0        0   0  13         6
## 481                 0             1       4        5       10   0  13         3
## 482                 0             1       5       15        0   0  10         4
## 483                 0             1       3        0        0   1  10         6
## 484                 0             1       2        0        0   1  11         6
## 485                 0             1       4        0       10   1  11         6
## 486                 0             1       5        0       30   0   8         4
## 487                 0             1       4        0       14   1  13         6
## 488                 0             1       5        0       15   0  10         5
## 489                 1             1       2        0        5   1  10         4
## 490                 0             1       5        0       30   1   8         5
## 491                 0             1       4       10        0   0   8         5
## 492                 0             1       4        5       10   0   8         3
## 493                 0             1       5        0        6   0  11         5
## 494                 0             1       2        0        0   0  11         4
## 495                 0             1       2        0        0   1  10         5
## 496                 0             1       3        7        2   1  11         4
## 497                 0             1       3        2        0   0   5         6
## 498                 0             1       3       15        0   1  13         2
## 499                 0             1       5        0       30   0  12         4
##     Income
## 1        8
## 2        8
## 3        8
## 4        8
## 5        8
## 6        7
## 7        6
## 8        3
## 9        8
## 10       4
## 11       6
## 12       8
## 13       8
## 14       6
## 15       1
## 16       6
## 17       7
## 18       7
## 19       8
## 20       5
## 21       8
## 22       8
## 23       8
## 24       6
## 25       3
## 26       8
## 27       7
## 28       6
## 29       7
## 30       8
## 31       1
## 32       3
## 33       7
## 34       2
## 35       6
## 36       6
## 37       8
## 38       6
## 39       8
## 40       8
## 41       8
## 42       8
## 43       2
## 44       8
## 45       8
## 46       4
## 47       8
## 48       6
## 49       8
## 50       6
## 51       7
## 52       6
## 53       6
## 54       8
## 55       7
## 56       7
## 57       8
## 58       8
## 59       8
## 60       5
## 61       8
## 62       4
## 63       5
## 64       7
## 65       8
## 66       3
## 67       8
## 68       8
## 69       6
## 70       7
## 71       8
## 72       8
## 73       1
## 74       6
## 75       3
## 76       2
## 77       6
## 78       7
## 79       4
## 80       4
## 81       8
## 82       8
## 83       1
## 84       7
## 85       8
## 86       8
## 87       8
## 88       3
## 89       6
## 90       5
## 91       5
## 92       8
## 93       4
## 94       7
## 95       1
## 96       4
## 97       6
## 98       8
## 99       6
## 100      4
## 101      7
## 102      6
## 103      7
## 104      1
## 105      8
## 106      5
## 107      7
## 108      8
## 109      8
## 110      6
## 111      8
## 112      5
## 113      5
## 114      5
## 115      6
## 116      7
## 117      8
## 118      6
## 119      8
## 120      8
## 121      4
## 122      8
## 123      6
## 124      8
## 125      7
## 126      8
## 127      3
## 128      8
## 129      8
## 130      7
## 131      1
## 132      8
## 133      8
## 134      5
## 135      8
## 136      7
## 137      7
## 138      6
## 139      8
## 140      8
## 141      4
## 142      7
## 143      4
## 144      4
## 145      8
## 146      7
## 147      8
## 148      5
## 149      5
## 150      7
## 151      7
## 152      8
## 153      7
## 154      8
## 155      5
## 156      7
## 157      5
## 158      8
## 159      1
## 160      7
## 161      8
## 162      8
## 163      8
## 164      4
## 165      7
## 166      8
## 167      8
## 168      1
## 169      4
## 170      8
## 171      5
## 172      8
## 173      8
## 174      8
## 175      6
## 176      7
## 177      8
## 178      8
## 179      8
## 180      6
## 181      4
## 182      6
## 183      7
## 184      8
## 185      2
## 186      7
## 187      5
## 188      8
## 189      8
## 190      4
## 191      8
## 192      2
## 193      6
## 194      2
## 195      7
## 196      8
## 197      5
## 198      6
## 199      7
## 200      2
## 201      8
## 202      2
## 203      3
## 204      4
## 205      7
## 206      8
## 207      8
## 208      6
## 209      2
## 210      8
## 211      1
## 212      8
## 213      6
## 214      1
## 215      6
## 216      8
## 217      8
## 218      8
## 219      6
## 220      7
## 221      7
## 222      3
## 223      4
## 224      8
## 225      6
## 226      6
## 227      5
## 228      4
## 229      7
## 230      4
## 231      7
## 232      3
## 233      3
## 234      6
## 235      8
## 236      8
## 237      7
## 238      8
## 239      8
## 240      8
## 241      8
## 242      5
## 243      8
## 244      8
## 245      8
## 246      7
## 247      6
## 248      8
## 249      8
## 250      1
## 251      8
## 252      6
## 253      6
## 254      4
## 255      5
## 256      4
## 257      7
## 258      4
## 259      3
## 260      4
## 261      2
## 262      5
## 263      4
## 264      2
## 265      3
## 266      8
## 267      8
## 268      2
## 269      8
## 270      6
## 271      7
## 272      2
## 273      3
## 274      3
## 275      7
## 276      5
## 277      7
## 278      6
## 279      5
## 280      8
## 281      7
## 282      4
## 283      6
## 284      5
## 285      5
## 286      5
## 287      8
## 288      6
## 289      6
## 290      3
## 291      8
## 292      7
## 293      5
## 294      4
## 295      2
## 296      6
## 297      1
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head(data) # you see data, but no column names
##   Diabetes_binary HighBP BMI Smoker Stroke HeartDiseaseorAttack PhysActivity
## 1               0      1  26      0      0                    0            1
## 2               0      1  26      1      1                    0            0
## 3               0      0  26      0      0                    0            1
## 4               0      1  28      1      0                    0            1
## 5               0      0  29      1      0                    0            1
## 6               0      0  18      0      0                    0            1
##   HvyAlcoholConsump AnyHealthcare GenHlth MentHlth PhysHlth Sex Age Education
## 1                 0             1       3        5       30   1   4         6
## 2                 0             1       3        0        0   1  12         6
## 3                 0             1       1        0       10   1  13         6
## 4                 0             1       3        0        3   1  11         6
## 5                 0             1       2        0        0   0   8         5
## 6                 0             0       2        7        0   0   1         4
##   Income
## 1      8
## 2      8
## 3      8
## 4      8
## 5      8
## 6      7
#####


## Exploratory Analysis

length(data$Sex)  # check the length of the sex variable
## [1] 499
length(data$Diabetes_binary)  # check the length of the Diabetes_binary variable
## [1] 499
xtabs(~ Diabetes_binary + Sex, data=data)
##                Sex
## Diabetes_binary   0   1
##               0 138 111
##               1 161  89
xtabs(~ Diabetes_binary + Age, data=data)
##                Age
## Diabetes_binary  1  2  3  4  5  6  7  8  9 10 11 12 13
##               0  6  3 13 18 15 19 29 32 33 31 16 19 15
##               1  0  0  1  2  2  6 16 30 34 62 46 27 24
xtabs(~ Diabetes_binary + Smoker, data=data)
##                Smoker
## Diabetes_binary   0   1
##               0 131 118
##               1 132 118
xtabs(~ Diabetes_binary + BMI, data=data)
##                BMI
## Diabetes_binary 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35
##               0  1  0  1  2  5  9 10 18 12 17 17 18 23 18 14 13 18  9  5  5  3
##               1  0  1  0  1  0  2  4  3  7 11 17 13 16 16 15 19 13 18 12 15  7
##                BMI
## Diabetes_binary 36 37 38 39 40 41 42 43 44 45 46 47 48 49 52 55 58 59 69
##               0  9  5  5  0  3  1  1  0  1  0  0  3  0  0  1  0  1  0  1
##               1  7 13  2  3  5  4  5  7  1  4  1  2  1  2  1  1  0  1  0
xtabs(~ Diabetes_binary + Stroke, data=data)
##                Stroke
## Diabetes_binary   0   1
##               0 240   9
##               1 214  36
xtabs(~ Diabetes_binary + HighBP, data=data)
##                HighBP
## Diabetes_binary   0   1
##               0 151  98
##               1  46 204
xtabs(~ Diabetes_binary + HvyAlcoholConsump, data=data)
##                HvyAlcoholConsump
## Diabetes_binary   0   1
##               0 235  14
##               1 244   6
xtabs(~ Diabetes_binary + PhysHlth, data=data)
##                PhysHlth
## Diabetes_binary   0   1   2   3   4   5   6   7   8  10  12  14  15  16  20  21
##               0 157  11  11   8   9   3   2   7   1   6   0   3   2   0   3   1
##               1 122   2  17   6   5  11   3   6   1  16   1   6  13   1   4   1
##                PhysHlth
## Diabetes_binary  22  23  25  27  28  30
##               0   1   1   2   0   0  21
##               1   0   0   0   1   1  33
logistic_simple <- glm(Diabetes_binary ~ Age, data=data, family="binomial")
summary(logistic_simple)
## 
## Call:
## glm(formula = Diabetes_binary ~ Age, family = "binomial", data = data)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -1.7346  -1.0487   0.7088   1.0469   2.0085  
## 
## Coefficients:
##             Estimate Std. Error z value Pr(>|z|)    
## (Intercept) -2.81250    0.38872  -7.235 4.64e-13 ***
## Age          0.31275    0.04126   7.580 3.46e-14 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 691.76  on 498  degrees of freedom
## Residual deviance: 620.66  on 497  degrees of freedom
## AIC: 624.66
## 
## Number of Fisher Scoring iterations: 4
#  generating full multiple logistic regression 
full_model <- glm(Diabetes_binary ~ Age + Sex + BMI, family = binomial(link = logit)) 
summary(full_model)
## 
## Call:
## glm(formula = Diabetes_binary ~ Age + Sex + BMI, family = binomial(link = logit))
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -2.8327  -0.9498   0.2288   0.9602   1.9884  
## 
## Coefficients:
##             Estimate Std. Error z value Pr(>|z|)    
## (Intercept) -6.30130    0.75344  -8.363  < 2e-16 ***
## Age          0.37306    0.04626   8.065 7.34e-16 ***
## Sex         -0.57479    0.20906  -2.749  0.00597 ** 
## BMI          0.10595    0.01730   6.124 9.12e-10 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 691.76  on 498  degrees of freedom
## Residual deviance: 568.06  on 495  degrees of freedom
## AIC: 576.06
## 
## Number of Fisher Scoring iterations: 4
# exponentiate the confidence intervals around the log odds for each predictor variable to obtain the odds 
exp(confint(full_model))
## Waiting for profiling to be done...
##                    2.5 %      97.5 %
## (Intercept) 0.0003935826 0.007581183
## Age         1.3303551559 1.595323514
## Sex         0.3722926660 0.845726242
## BMI         1.0758775641 1.151485599
## Lastly, let's  see what this logistic regression predicts, given their ages
predicted.data <- data.frame(probability.of.Diabetes_binary=logistic_simple$fitted.values,age=data$Age)
predicted.data
##     probability.of.Diabetes_binary age
## 1                       0.17343250   4
## 2                       0.71920522  12
## 3                       0.77786620  13
## 4                       0.65198380  11
## 5                       0.42299630   8
## 6                       0.07587577   1
## 7                       0.77786620  13
## 8                       0.28171122   6
## 9                       0.13305129   3
## 10                      0.28171122   6
## 11                      0.71920522  12
## 12                      0.17343250   4
## 13                      0.34904555   7
## 14                      0.57810979  10
## 15                      0.57810979  10
## 16                      0.57810979  10
## 17                      0.50056668   9
## 18                      0.57810979  10
## 19                      0.42299630   8
## 20                      0.34904555   7
## 21                      0.28171122   6
## 22                      0.57810979  10
## 23                      0.42299630   8
## 24                      0.50056668   9
## 25                      0.57810979  10
## 26                      0.42299630   8
## 27                      0.71920522  12
## 28                      0.50056668   9
## 29                      0.28171122   6
## 30                      0.34904555   7
## 31                      0.17343250   4
## 32                      0.13305129   3
## 33                      0.17343250   4
## 34                      0.17343250   4
## 35                      0.65198380  11
## 36                      0.50056668   9
## 37                      0.22291812   5
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## 41                      0.42299630   8
## 42                      0.42299630   8
## 43                      0.13305129   3
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## 47                      0.22291812   5
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## 49                      0.13305129   3
## 50                      0.77786620  13
## 51                      0.71920522  12
## 52                      0.42299630   8
## 53                      0.71920522  12
## 54                      0.22291812   5
## 55                      0.50056668   9
## 56                      0.57810979  10
## 57                      0.13305129   3
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## 59                      0.28171122   6
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## 61                      0.50056668   9
## 62                      0.71920522  12
## 63                      0.65198380  11
## 64                      0.65198380  11
## 65                      0.13305129   3
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## 73                      0.50056668   9
## 74                      0.34904555   7
## 75                      0.77786620  13
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## 77                      0.22291812   5
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## 79                      0.13305129   3
## 80                      0.65198380  11
## 81                      0.34904555   7
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## 83                      0.28171122   6
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## 85                      0.42299630   8
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## 94                      0.42299630   8
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## 205                     0.50056668   9
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## 211                     0.57810979  10
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## 229                     0.71920522  12
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## 231                     0.77786620  13
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## 233                     0.50056668   9
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## 387                     0.50056668   9
## 388                     0.57810979  10
## 389                     0.77786620  13
## 390                     0.50056668   9
## 391                     0.57810979  10
## 392                     0.42299630   8
## 393                     0.77786620  13
## 394                     0.65198380  11
## 395                     0.71920522  12
## 396                     0.65198380  11
## 397                     0.50056668   9
## 398                     0.71920522  12
## 399                     0.77786620  13
## 400                     0.65198380  11
## 401                     0.65198380  11
## 402                     0.42299630   8
## 403                     0.57810979  10
## 404                     0.65198380  11
## 405                     0.50056668   9
## 406                     0.50056668   9
## 407                     0.65198380  11
## 408                     0.57810979  10
## 409                     0.71920522  12
## 410                     0.57810979  10
## 411                     0.71920522  12
## 412                     0.22291812   5
## 413                     0.57810979  10
## 414                     0.71920522  12
## 415                     0.57810979  10
## 416                     0.50056668   9
## 417                     0.42299630   8
## 418                     0.34904555   7
## 419                     0.71920522  12
## 420                     0.65198380  11
## 421                     0.50056668   9
## 422                     0.34904555   7
## 423                     0.71920522  12
## 424                     0.65198380  11
## 425                     0.65198380  11
## 426                     0.57810979  10
## 427                     0.71920522  12
## 428                     0.57810979  10
## 429                     0.28171122   6
## 430                     0.57810979  10
## 431                     0.57810979  10
## 432                     0.57810979  10
## 433                     0.71920522  12
## 434                     0.77786620  13
## 435                     0.65198380  11
## 436                     0.50056668   9
## 437                     0.34904555   7
## 438                     0.50056668   9
## 439                     0.34904555   7
## 440                     0.57810979  10
## 441                     0.65198380  11
## 442                     0.65198380  11
## 443                     0.65198380  11
## 444                     0.65198380  11
## 445                     0.71920522  12
## 446                     0.57810979  10
## 447                     0.65198380  11
## 448                     0.65198380  11
## 449                     0.65198380  11
## 450                     0.57810979  10
## 451                     0.34904555   7
## 452                     0.28171122   6
## 453                     0.57810979  10
## 454                     0.42299630   8
## 455                     0.65198380  11
## 456                     0.77786620  13
## 457                     0.57810979  10
## 458                     0.57810979  10
## 459                     0.57810979  10
## 460                     0.34904555   7
## 461                     0.65198380  11
## 462                     0.17343250   4
## 463                     0.77786620  13
## 464                     0.57810979  10
## 465                     0.57810979  10
## 466                     0.34904555   7
## 467                     0.65198380  11
## 468                     0.50056668   9
## 469                     0.65198380  11
## 470                     0.71920522  12
## 471                     0.42299630   8
## 472                     0.34904555   7
## 473                     0.42299630   8
## 474                     0.50056668   9
## 475                     0.28171122   6
## 476                     0.57810979  10
## 477                     0.57810979  10
## 478                     0.42299630   8
## 479                     0.34904555   7
## 480                     0.77786620  13
## 481                     0.77786620  13
## 482                     0.57810979  10
## 483                     0.57810979  10
## 484                     0.65198380  11
## 485                     0.65198380  11
## 486                     0.42299630   8
## 487                     0.77786620  13
## 488                     0.57810979  10
## 489                     0.57810979  10
## 490                     0.42299630   8
## 491                     0.42299630   8
## 492                     0.42299630   8
## 493                     0.65198380  11
## 494                     0.65198380  11
## 495                     0.57810979  10
## 496                     0.65198380  11
## 497                     0.22291812   5
## 498                     0.77786620  13
## 499                     0.71920522  12
## We can plot the data...

xtabs(~ probability.of.Diabetes_binary + age, data=predicted.data)
##                               age
## probability.of.Diabetes_binary  1  2  3  4  5  6  7  8  9 10 11 12 13
##             0.0758757735453304  6  0  0  0  0  0  0  0  0  0  0  0  0
##             0.100924246975879   0  3  0  0  0  0  0  0  0  0  0  0  0
##             0.133051290963604   0  0 14  0  0  0  0  0  0  0  0  0  0
##             0.173432495218902   0  0  0 20  0  0  0  0  0  0  0  0  0
##             0.222918124585011   0  0  0  0 17  0  0  0  0  0  0  0  0
##             0.281711217893812   0  0  0  0  0 25  0  0  0  0  0  0  0
##             0.349045554314093   0  0  0  0  0  0 45  0  0  0  0  0  0
##             0.422996299599763   0  0  0  0  0  0  0 62  0  0  0  0  0
##             0.50056668094862    0  0  0  0  0  0  0  0 67  0  0  0  0
##             0.578109793353969   0  0  0  0  0  0  0  0  0 93  0  0  0
##             0.651983797051015   0  0  0  0  0  0  0  0  0  0 62  0  0
##             0.719205217178291   0  0  0  0  0  0  0  0  0  0  0 46  0
##             0.777866198525136   0  0  0  0  0  0  0  0  0  0  0  0 39
logistic <- glm(Diabetes_binary ~ ., data=data, family="binomial")
summary(logistic)
## 
## Call:
## glm(formula = Diabetes_binary ~ ., family = "binomial", data = data)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -2.7023  -0.7008   0.1464   0.7107   2.3385  
## 
## Coefficients:
##                       Estimate Std. Error z value Pr(>|z|)    
## (Intercept)          -5.934978   1.298256  -4.571 4.84e-06 ***
## HighBP                1.004430   0.258644   3.883 0.000103 ***
## BMI                   0.071747   0.020104   3.569 0.000359 ***
## Smoker               -0.360526   0.244289  -1.476 0.139994    
## Stroke                0.434285   0.451241   0.962 0.335837    
## HeartDiseaseorAttack  0.009647   0.314612   0.031 0.975539    
## PhysActivity         -0.510892   0.263966  -1.935 0.052936 .  
## HvyAlcoholConsump    -0.049633   0.577585  -0.086 0.931521    
## AnyHealthcare         0.305963   0.545361   0.561 0.574778    
## GenHlth               0.772766   0.146000   5.293 1.20e-07 ***
## MentHlth             -0.026902   0.015747  -1.708 0.087573 .  
## PhysHlth             -0.041897   0.014747  -2.841 0.004496 ** 
## Sex                  -0.261409   0.256194  -1.020 0.307558    
## Age                   0.282123   0.055244   5.107 3.27e-07 ***
## Education            -0.045911   0.130553  -0.352 0.725088    
## Income               -0.141062   0.064429  -2.189 0.028567 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 691.76  on 498  degrees of freedom
## Residual deviance: 463.72  on 483  degrees of freedom
## AIC: 495.72
## 
## Number of Fisher Scoring iterations: 5
## Now calculate the overall "Pseudo R-squared" and its p-value
ll.null <- logistic$null.deviance/-2
ll.proposed <- logistic$deviance/-2
(ll.null - ll.proposed) / ll.null
## [1] 0.3296513
## The p-value for the R^2
1 - pchisq(2*(ll.proposed - ll.null), df=(length(logistic$coefficients)-1))
## [1] 0
predicted.data <- data.frame(probability.of.Diabetes_binary=logistic$fitted.values,Diabetes_binary=data$Diabetes_binary)
predicted.data <- predicted.data[order(predicted.data$probability.of.Diabetes_binary, decreasing=FALSE),]
predicted.data$rank <- 1:nrow(predicted.data)
## Lastly, we can plot the predicted probabilities for each sample having
## heart disease and color by whether or not they actually had heart disease
ggplot(data=predicted.data, aes(x=rank, y=probability.of.Diabetes_binary)) +
geom_point(aes(color=Diabetes_binary), alpha=1, shape=4, stroke=2) +
xlab("Index") +
ylab("Predicted probability of getting Diabetes")

# From Caret
pdata <- predict(logistic,newdata=data,type="response" )
pdata
##           1           2           3           4           5           6 
## 0.053147502 0.794618017 0.128032039 0.535811405 0.121819256 0.009137724 
##           7           8           9          10          11          12 
## 0.170565794 0.537471367 0.110729683 0.213823433 0.677374614 0.012160343 
##          13          14          15          16          17          18 
## 0.206968593 0.960014329 0.232116149 0.249837215 0.246037851 0.092932314 
##          19          20          21          22          23          24 
## 0.090592692 0.355096504 0.029313996 0.597084217 0.098628357 0.153728865 
##          25          26          27          28          29          30 
## 0.262198262 0.114696112 0.498059634 0.891279051 0.178015591 0.187212744 
##          31          32          33          34          35          36 
## 0.211025774 0.040161312 0.058719680 0.342134670 0.476478797 0.064515462 
##          37          38          39          40          41          42 
## 0.072791908 0.144252832 0.065529704 0.090576737 0.243461082 0.112485316 
##          43          44          45          46          47          48 
## 0.307276422 0.158536881 0.390337575 0.246047444 0.013230451 0.079715413 
##          49          50          51          52          53          54 
## 0.061267123 0.739928825 0.816928345 0.265902683 0.822694064 0.083901764 
##          55          56          57          58          59          60 
## 0.066173258 0.155261678 0.275160655 0.099753597 0.021075370 0.713388584 
##          61          62          63          64          65          66 
## 0.106747080 0.974041697 0.321182716 0.207806101 0.027652091 0.244083457 
##          67          68          69          70          71          72 
## 0.112337993 0.431966522 0.399805399 0.119460770 0.024065512 0.063121486 
##          73          74          75          76          77          78 
## 0.568178778 0.043963226 0.751115974 0.641809415 0.033131111 0.238456082 
##          79          80          81          82          83          84 
## 0.106633077 0.689646160 0.027210938 0.113808580 0.646494886 0.294568866 
##          85          86          87          88          89          90 
## 0.220671529 0.018865680 0.075703732 0.739930970 0.528881049 0.422922272 
##          91          92          93          94          95          96 
## 0.740864021 0.069862662 0.854684288 0.077125011 0.790951504 0.276712227 
##          97          98          99         100         101         102 
## 0.153905069 0.185331326 0.523492038 0.275088219 0.851646244 0.549579317 
##         103         104         105         106         107         108 
## 0.022886585 0.324309698 0.212156825 0.704844680 0.066447787 0.117697576 
##         109         110         111         112         113         114 
## 0.364256501 0.214772787 0.174428469 0.115452072 0.828995703 0.527289330 
##         115         116         117         118         119         120 
## 0.175624391 0.018448428 0.035333256 0.279611346 0.285219213 0.029303809 
##         121         122         123         124         125         126 
## 0.135506286 0.011409412 0.069161710 0.234880282 0.024386765 0.098776993 
##         127         128         129         130         131         132 
## 0.687478667 0.560145509 0.117369877 0.141290261 0.605562429 0.121556862 
##         133         134         135         136         137         138 
## 0.092530460 0.745744110 0.061495975 0.485374540 0.137155906 0.509618939 
##         139         140         141         142         143         144 
## 0.025324174 0.224955266 0.494671668 0.563531486 0.079261995 0.779061520 
##         145         146         147         148         149         150 
## 0.076220820 0.011664616 0.635980890 0.312202958 0.488549248 0.028332547 
##         151         152         153         154         155         156 
## 0.572051497 0.273480396 0.143899523 0.104205876 0.403446407 0.032437126 
##         157         158         159         160         161         162 
## 0.734225087 0.508242078 0.135763139 0.294423138 0.123830692 0.584851616 
##         163         164         165         166         167         168 
## 0.033684759 0.725378333 0.082200747 0.136183663 0.152310112 0.235398852 
##         169         170         171         172         173         174 
## 0.097108745 0.211893351 0.369849639 0.712847122 0.254069858 0.058884670 
##         175         176         177         178         179         180 
## 0.368525702 0.449735142 0.056728685 0.790535295 0.318267779 0.092068249 
##         181         182         183         184         185         186 
## 0.656910044 0.031778783 0.507891192 0.476099608 0.490951482 0.428449358 
##         187         188         189         190         191         192 
## 0.276304054 0.054101449 0.047142235 0.159160104 0.098382678 0.860706248 
##         193         194         195         196         197         198 
## 0.703205968 0.403878961 0.040370675 0.435257865 0.522304840 0.112242995 
##         199         200         201         202         203         204 
## 0.383647283 0.967851226 0.090902937 0.036736285 0.675821783 0.192059764 
##         205         206         207         208         209         210 
## 0.364182750 0.111219936 0.339907110 0.081839322 0.818041495 0.155696516 
##         211         212         213         214         215         216 
## 0.193781729 0.430872954 0.660805769 0.731920580 0.906120458 0.344369310 
##         217         218         219         220         221         222 
## 0.445005836 0.026114040 0.210273619 0.171255296 0.027350123 0.887162363 
##         223         224         225         226         227         228 
## 0.258544438 0.221237547 0.037151409 0.020203292 0.259880174 0.268882581 
##         229         230         231         232         233         234 
## 0.484924121 0.016862916 0.840967411 0.655852311 0.517959907 0.179467598 
##         235         236         237         238         239         240 
## 0.435948599 0.053531977 0.019097681 0.123352092 0.053284050 0.315309105 
##         241         242         243         244         245         246 
## 0.065357661 0.776620330 0.031834624 0.016776786 0.329798783 0.240041552 
##         247         248         249         250         251         252 
## 0.209476632 0.387595541 0.585597125 0.758649443 0.404622688 0.927487591 
##         253         254         255         256         257         258 
## 0.064936603 0.610221911 0.972248471 0.930377480 0.438572443 0.872222600 
##         259         260         261         262         263         264 
## 0.751550342 0.932647009 0.746776326 0.816263595 0.813883042 0.674881537 
##         265         266         267         268         269         270 
## 0.299448962 0.178719112 0.391434064 0.557754221 0.820465012 0.800009029 
##         271         272         273         274         275         276 
## 0.617339336 0.615673517 0.739946150 0.270718836 0.395859416 0.485675281 
##         277         278         279         280         281         282 
## 0.459014493 0.654361306 0.551333660 0.375390271 0.759068437 0.704150448 
##         283         284         285         286         287         288 
## 0.718983570 0.944162707 0.429259686 0.472586254 0.895068376 0.841431159 
##         289         290         291         292         293         294 
## 0.404698903 0.876624599 0.614025293 0.904805073 0.913883982 0.903448218 
##         295         296         297         298         299         300 
## 0.987577658 0.578890573 0.973658466 0.796189586 0.703557651 0.409173245 
##         301         302         303         304         305         306 
## 0.266789010 0.071554759 0.823369056 0.761839683 0.492289036 0.665108685 
##         307         308         309         310         311         312 
## 0.499379368 0.812282318 0.858071018 0.825374260 0.840598704 0.391912777 
##         313         314         315         316         317         318 
## 0.389086011 0.897643187 0.933791667 0.235643739 0.824965636 0.778580193 
##         319         320         321         322         323         324 
## 0.902224411 0.904241889 0.890813282 0.923696731 0.886176973 0.615616592 
##         325         326         327         328         329         330 
## 0.910328386 0.879614942 0.716003528 0.640465573 0.905374739 0.431191358 
##         331         332         333         334         335         336 
## 0.963054164 0.905061657 0.955798077 0.646370485 0.945670854 0.916678371 
##         337         338         339         340         341         342 
## 0.278274456 0.732606557 0.793828899 0.810602424 0.937720449 0.900608602 
##         343         344         345         346         347         348 
## 0.831384754 0.979040237 0.832415091 0.538575635 0.941433129 0.952221749 
##         349         350         351         352         353         354 
## 0.669834447 0.671161524 0.924550821 0.989341506 0.587749818 0.104523153 
##         355         356         357         358         359         360 
## 0.639402384 0.203733958 0.796066402 0.828028017 0.392087607 0.868122793 
##         361         362         363         364         365         366 
## 0.848075776 0.828177977 0.370713057 0.891226405 0.639201545 0.846526030 
##         367         368         369         370         371         372 
## 0.707248335 0.873092943 0.937068360 0.256727871 0.836838999 0.858887583 
##         373         374         375         376         377         378 
## 0.286555838 0.581353227 0.614980867 0.638211224 0.424935203 0.135419311 
##         379         380         381         382         383         384 
## 0.427249149 0.793639694 0.706904092 0.401602498 0.921180886 0.955935236 
##         385         386         387         388         389         390 
## 0.803001686 0.804725594 0.585287191 0.841770507 0.604540259 0.572309464 
##         391         392         393         394         395         396 
## 0.853289339 0.291536376 0.712430964 0.471044246 0.294609457 0.590321792 
##         397         398         399         400         401         402 
## 0.418028442 0.865985519 0.876350596 0.808080029 0.745210376 0.873418953 
##         403         404         405         406         407         408 
## 0.795822016 0.879094676 0.352712972 0.846494179 0.844313748 0.384399002 
##         409         410         411         412         413         414 
## 0.930148317 0.326369188 0.864618920 0.891290956 0.952860577 0.884264636 
##         415         416         417         418         419         420 
## 0.299059174 0.650435361 0.363008387 0.640907512 0.745267505 0.877731399 
##         421         422         423         424         425         426 
## 0.752916278 0.787989091 0.522118819 0.666486115 0.487132255 0.624679627 
##         427         428         429         430         431         432 
## 0.718482076 0.875797365 0.117533228 0.757789989 0.203506959 0.869863813 
##         433         434         435         436         437         438 
## 0.862650287 0.938966323 0.979840460 0.511939899 0.235147791 0.798553696 
##         439         440         441         442         443         444 
## 0.432366934 0.831636623 0.385161194 0.775048399 0.960893465 0.804194522 
##         445         446         447         448         449         450 
## 0.914375274 0.758659317 0.862114219 0.715443996 0.583309480 0.880286847 
##         451         452         453         454         455         456 
## 0.534039540 0.394259087 0.917071607 0.519966895 0.848957707 0.536736216 
##         457         458         459         460         461         462 
## 0.939911105 0.767999743 0.896672227 0.614311596 0.908475939 0.187889158 
##         463         464         465         466         467         468 
## 0.804252786 0.946623113 0.696431295 0.853443453 0.887381734 0.921585549 
##         469         470         471         472         473         474 
## 0.981567779 0.813725775 0.459366079 0.643469776 0.705872177 0.825603545 
##         475         476         477         478         479         480 
## 0.794236942 0.685982915 0.768733316 0.840233175 0.503923087 0.470347760 
##         481         482         483         484         485         486 
## 0.969660246 0.972483278 0.602312190 0.359448042 0.816007762 0.838798946 
##         487         488         489         490         491         492 
## 0.890805538 0.972939731 0.514864868 0.862585238 0.897904534 0.833652153 
##         493         494         495         496         497         498 
## 0.904570302 0.391070238 0.620894735 0.943309149 0.215835319 0.877027816 
##         499 
## 0.972516621
data$Diabetes_binary
##   [1] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
##  [38] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
##  [75] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [112] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [149] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [186] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
## [223] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1
## [260] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [297] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [334] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [371] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [408] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [445] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [482] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
pdataF <- as.factor(ifelse(test=as.numeric(pdata>0.5) == 0, yes="Diabetic", no="Not-Diabetic"))

#From e1071::
#confusionMatrix(pdataF, data$Diabetes_binary)
# From pROC
roc(data$Diabetes_binary,logistic$fitted.values,plot=TRUE)
## Setting levels: control = 0, case = 1
## Setting direction: controls < cases
## 
## Call:
## roc.default(response = data$Diabetes_binary, predictor = logistic$fitted.values,     plot = TRUE)
## 
## Data: logistic$fitted.values in 249 controls (data$Diabetes_binary 0) < 250 cases (data$Diabetes_binary 1).
## Area under the curve: 0.8606
par(pty = "s")
roc(data$Diabetes_binary,logistic$fitted.values,plot=TRUE)
## Setting levels: control = 0, case = 1
## Setting direction: controls < cases

## 
## Call:
## roc.default(response = data$Diabetes_binary, predictor = logistic$fitted.values,     plot = TRUE)
## 
## Data: logistic$fitted.values in 249 controls (data$Diabetes_binary 0) < 250 cases (data$Diabetes_binary 1).
## Area under the curve: 0.8606
## NOTE: By default, roc() uses specificity on the x-axis and the values range
## from 1 to 0. This makes the graph look like what we would expect, but the
## x-axis itself might induce a headache. To use 1-specificity (i.e. the
## False Positive Rate) on the x-axis, set "legacy.axes" to TRUE.
roc(data$Diabetes_binary,logistic$fitted.values,plot=TRUE, legacy.axes=TRUE)
## Setting levels: control = 0, case = 1
## Setting direction: controls < cases

## 
## Call:
## roc.default(response = data$Diabetes_binary, predictor = logistic$fitted.values,     plot = TRUE, legacy.axes = TRUE)
## 
## Data: logistic$fitted.values in 249 controls (data$Diabetes_binary 0) < 250 cases (data$Diabetes_binary 1).
## Area under the curve: 0.8606
roc(data$Diabetes_binary,logistic$fitted.values,plot=TRUE, legacy.axes=TRUE, xlab="False Positive Percentage", ylab="True Postive Percentage")
## Setting levels: control = 0, case = 1
## Setting direction: controls < cases

## 
## Call:
## roc.default(response = data$Diabetes_binary, predictor = logistic$fitted.values,     plot = TRUE, legacy.axes = TRUE, xlab = "False Positive Percentage",     ylab = "True Postive Percentage")
## 
## Data: logistic$fitted.values in 249 controls (data$Diabetes_binary 0) < 250 cases (data$Diabetes_binary 1).
## Area under the curve: 0.8606
roc(data$Diabetes_binary,logistic$fitted.values,plot=TRUE, legacy.axes=TRUE, xlab="False Positive Percentage", ylab="True Postive Percentage", col="#377eb8", lwd=4)
## Setting levels: control = 0, case = 1
## Setting direction: controls < cases

## 
## Call:
## roc.default(response = data$Diabetes_binary, predictor = logistic$fitted.values,     plot = TRUE, legacy.axes = TRUE, xlab = "False Positive Percentage",     ylab = "True Postive Percentage", col = "#377eb8", lwd = 4)
## 
## Data: logistic$fitted.values in 249 controls (data$Diabetes_binary 0) < 250 cases (data$Diabetes_binary 1).
## Area under the curve: 0.8606
roc(data$Diabetes_binary,logistic$fitted.values,plot=TRUE, legacy.axes=TRUE, xlab="False Positive Percentage", ylab="True Postive Percentage", col="#377eb8", lwd=4)
## Setting levels: control = 0, case = 1
## Setting direction: controls < cases
## 
## Call:
## roc.default(response = data$Diabetes_binary, predictor = logistic$fitted.values,     plot = TRUE, legacy.axes = TRUE, xlab = "False Positive Percentage",     ylab = "True Postive Percentage", col = "#377eb8", lwd = 4)
## 
## Data: logistic$fitted.values in 249 controls (data$Diabetes_binary 0) < 250 cases (data$Diabetes_binary 1).
## Area under the curve: 0.8606
## If we want to find out the optimal threshold we can store the
## data used to make the ROC graph in a variable...
roc.info <- roc(data$Diabetes_binary, logistic$fitted.values, legacy.axes=TRUE)
## Setting levels: control = 0, case = 1
## Setting direction: controls < cases
str(roc.info)
## List of 15
##  $ percent           : logi FALSE
##  $ sensitivities     : num [1:500] 1 1 1 1 1 1 1 1 1 1 ...
##  $ specificities     : num [1:500] 0 0.00402 0.00803 0.01205 0.01606 ...
##  $ thresholds        : num [1:500] -Inf 0.0103 0.0115 0.0119 0.0127 ...
##  $ direction         : chr "<"
##  $ cases             : Named num [1:250] 0.7586 0.4046 0.9275 0.0649 0.6102 ...
##   ..- attr(*, "names")= chr [1:250] "250" "251" "252" "253" ...
##  $ controls          : Named num [1:249] 0.0531 0.7946 0.128 0.5358 0.1218 ...
##   ..- attr(*, "names")= chr [1:249] "1" "2" "3" "4" ...
##  $ fun.sesp          :function (thresholds, controls, cases, direction)  
##  $ auc               : 'auc' num 0.861
##   ..- attr(*, "partial.auc")= logi FALSE
##   ..- attr(*, "percent")= logi FALSE
##   ..- attr(*, "roc")=List of 15
##   .. ..$ percent           : logi FALSE
##   .. ..$ sensitivities     : num [1:500] 1 1 1 1 1 1 1 1 1 1 ...
##   .. ..$ specificities     : num [1:500] 0 0.00402 0.00803 0.01205 0.01606 ...
##   .. ..$ thresholds        : num [1:500] -Inf 0.0103 0.0115 0.0119 0.0127 ...
##   .. ..$ direction         : chr "<"
##   .. ..$ cases             : Named num [1:250] 0.7586 0.4046 0.9275 0.0649 0.6102 ...
##   .. .. ..- attr(*, "names")= chr [1:250] "250" "251" "252" "253" ...
##   .. ..$ controls          : Named num [1:249] 0.0531 0.7946 0.128 0.5358 0.1218 ...
##   .. .. ..- attr(*, "names")= chr [1:249] "1" "2" "3" "4" ...
##   .. ..$ fun.sesp          :function (thresholds, controls, cases, direction)  
##   .. ..$ auc               : 'auc' num 0.861
##   .. .. ..- attr(*, "partial.auc")= logi FALSE
##   .. .. ..- attr(*, "percent")= logi FALSE
##   .. .. ..- attr(*, "roc")=List of 8
##   .. .. .. ..$ percent      : logi FALSE
##   .. .. .. ..$ sensitivities: num [1:500] 1 1 1 1 1 1 1 1 1 1 ...
##   .. .. .. ..$ specificities: num [1:500] 0 0.00402 0.00803 0.01205 0.01606 ...
##   .. .. .. ..$ thresholds   : num [1:500] -Inf 0.0103 0.0115 0.0119 0.0127 ...
##   .. .. .. ..$ direction    : chr "<"
##   .. .. .. ..$ cases        : Named num [1:250] 0.7586 0.4046 0.9275 0.0649 0.6102 ...
##   .. .. .. .. ..- attr(*, "names")= chr [1:250] "250" "251" "252" "253" ...
##   .. .. .. ..$ controls     : Named num [1:249] 0.0531 0.7946 0.128 0.5358 0.1218 ...
##   .. .. .. .. ..- attr(*, "names")= chr [1:249] "1" "2" "3" "4" ...
##   .. .. .. ..$ fun.sesp     :function (thresholds, controls, cases, direction)  
##   .. .. .. ..- attr(*, "class")= chr "roc"
##   .. ..$ call              : language roc.default(response = data$Diabetes_binary, predictor = logistic$fitted.values,      legacy.axes = TRUE)
##   .. ..$ original.predictor: Named num [1:499] 0.0531 0.7946 0.128 0.5358 0.1218 ...
##   .. .. ..- attr(*, "names")= chr [1:499] "1" "2" "3" "4" ...
##   .. ..$ original.response : int [1:499] 0 0 0 0 0 0 0 0 0 0 ...
##   .. ..$ predictor         : Named num [1:499] 0.0531 0.7946 0.128 0.5358 0.1218 ...
##   .. .. ..- attr(*, "names")= chr [1:499] "1" "2" "3" "4" ...
##   .. ..$ response          : int [1:499] 0 0 0 0 0 0 0 0 0 0 ...
##   .. ..$ levels            : chr [1:2] "0" "1"
##   .. ..- attr(*, "class")= chr "roc"
##  $ call              : language roc.default(response = data$Diabetes_binary, predictor = logistic$fitted.values,      legacy.axes = TRUE)
##  $ original.predictor: Named num [1:499] 0.0531 0.7946 0.128 0.5358 0.1218 ...
##   ..- attr(*, "names")= chr [1:499] "1" "2" "3" "4" ...
##  $ original.response : int [1:499] 0 0 0 0 0 0 0 0 0 0 ...
##  $ predictor         : Named num [1:499] 0.0531 0.7946 0.128 0.5358 0.1218 ...
##   ..- attr(*, "names")= chr [1:499] "1" "2" "3" "4" ...
##  $ response          : int [1:499] 0 0 0 0 0 0 0 0 0 0 ...
##  $ levels            : chr [1:2] "0" "1"
##  - attr(*, "class")= chr "roc"
## tpp = true positive percentage
## fpp = false positive precentage
roc.df <- data.frame(tpp=roc.info$sensitivities*100, fpp=(1 - roc.info$specificities)*100,thresholds=roc.info$thresholds)
roc.df
##       tpp         fpp thresholds
## 1   100.0 100.0000000       -Inf
## 2   100.0  99.5983936 0.01027357
## 3   100.0  99.1967871 0.01153701
## 4   100.0  98.7951807 0.01191248
## 5   100.0  98.3935743 0.01269540
## 6   100.0  97.9919679 0.01500362
## 7   100.0  97.5903614 0.01681985
## 8   100.0  97.1887550 0.01765567
## 9   100.0  96.7871486 0.01865705
## 10  100.0  96.3855422 0.01898168
## 11  100.0  95.9839357 0.01965049
## 12  100.0  95.5823293 0.02063933
## 13  100.0  95.1807229 0.02198098
## 14  100.0  94.7791165 0.02347605
## 15  100.0  94.3775100 0.02422614
## 16  100.0  93.9759036 0.02485547
## 17  100.0  93.5742972 0.02571911
## 18  100.0  93.1726908 0.02666249
## 19  100.0  92.7710843 0.02728053
## 20  100.0  92.3694779 0.02750111
## 21  100.0  91.9678715 0.02799232
## 22  100.0  91.5662651 0.02881818
## 23  100.0  91.1646586 0.02930890
## 24  100.0  90.7630522 0.03054639
## 25  100.0  90.3614458 0.03180670
## 26  100.0  89.9598394 0.03213587
## 27  100.0  89.5582329 0.03278412
## 28  100.0  89.1566265 0.03340793
## 29  100.0  88.7550201 0.03450901
## 30  100.0  88.3534137 0.03603477
## 31  100.0  87.9518072 0.03694385
## 32  100.0  87.5502008 0.03865636
## 33  100.0  87.1485944 0.04026599
## 34  100.0  86.7469880 0.04216695
## 35  100.0  86.3453815 0.04555273
## 36  100.0  85.9437751 0.05014487
## 37  100.0  85.5421687 0.05321578
## 38  100.0  85.1405622 0.05340801
## 39  100.0  84.7389558 0.05381671
## 40  100.0  84.3373494 0.05541507
## 41  100.0  83.9357430 0.05772418
## 42  100.0  83.5341365 0.05880217
## 43  100.0  83.1325301 0.06007590
## 44  100.0  82.7309237 0.06138155
## 45  100.0  82.3293173 0.06230873
## 46  100.0  81.9277108 0.06381847
## 47  100.0  81.5261044 0.06472603
## 48   99.6  81.5261044 0.06514713
## 49   99.6  81.1244980 0.06544368
## 50   99.6  80.7228916 0.06585148
## 51   99.6  80.3212851 0.06631052
## 52   99.6  79.9196787 0.06780475
## 53   99.6  79.5180723 0.06951219
## 54   99.6  79.1164659 0.07070871
## 55   99.2  79.1164659 0.07217333
## 56   99.2  78.7148594 0.07424782
## 57   99.2  78.3132530 0.07596228
## 58   99.2  77.9116466 0.07667292
## 59   99.2  77.5100402 0.07819350
## 60   99.2  77.1084337 0.07948870
## 61   99.2  76.7068273 0.08077737
## 62   99.2  76.3052209 0.08202003
## 63   99.2  75.9036145 0.08305126
## 64   99.2  75.5020080 0.08723925
## 65   99.2  75.1004016 0.09058471
## 66   99.2  74.6987952 0.09074781
## 67   99.2  74.2971888 0.09148559
## 68   99.2  73.8955823 0.09229935
## 69   99.2  73.4939759 0.09273139
## 70   99.2  73.0923695 0.09502053
## 71   99.2  72.6907631 0.09774571
## 72   99.2  72.2891566 0.09850552
## 73   99.2  71.8875502 0.09870268
## 74   99.2  71.4859438 0.09926530
## 75   99.2  71.0843373 0.10197974
## 76   99.2  70.6827309 0.10436451
## 77   98.8  70.6827309 0.10557811
## 78   98.8  70.2811245 0.10669008
## 79   98.8  69.8795181 0.10873838
## 80   98.8  69.4779116 0.11097481
## 81   98.8  69.0763052 0.11173147
## 82   98.8  68.6746988 0.11229049
## 83   98.8  68.2730924 0.11241165
## 84   98.8  67.8714859 0.11314695
## 85   98.8  67.4698795 0.11425235
## 86   98.8  67.0682731 0.11507409
## 87   98.8  66.6666667 0.11641097
## 88   98.8  66.2650602 0.11745155
## 89   98.4  66.2650602 0.11761540
## 90   98.4  65.8634538 0.11857917
## 91   98.4  65.4618474 0.12050882
## 92   98.4  65.0602410 0.12168806
## 93   98.4  64.6586345 0.12258567
## 94   98.4  64.2570281 0.12359139
## 95   98.4  63.8554217 0.12593137
## 96   98.4  63.4538153 0.13172567
## 97   98.0  63.4538153 0.13546280
## 98   98.0  63.0522088 0.13563471
## 99   98.0  62.6506024 0.13597340
## 100  98.0  62.2489960 0.13666978
## 101  98.0  61.8473896 0.13922308
## 102  98.0  61.4457831 0.14259489
## 103  98.0  61.0441767 0.14407618
## 104  98.0  60.6425703 0.14828147
## 105  98.0  60.2409639 0.15301949
## 106  98.0  59.8393574 0.15381697
## 107  98.0  59.4377510 0.15458337
## 108  98.0  59.0361446 0.15547910
## 109  98.0  58.6345382 0.15711670
## 110  98.0  58.2329317 0.15884849
## 111  98.0  57.8313253 0.16486295
## 112  98.0  57.4297189 0.17091055
## 113  98.0  57.0281124 0.17284188
## 114  98.0  56.6265060 0.17502643
## 115  98.0  56.2248996 0.17681999
## 116  98.0  55.8232932 0.17836735
## 117  97.6  55.8232932 0.17909335
## 118  97.6  55.4216867 0.18239946
## 119  97.6  55.0200803 0.18627204
## 120  97.6  54.6184739 0.18755095
## 121  97.2  54.6184739 0.18997446
## 122  97.2  54.2168675 0.19292075
## 123  97.2  53.8152610 0.19864434
## 124  96.8  53.8152610 0.20362046
## 125  96.4  53.8152610 0.20535128
## 126  96.4  53.4136546 0.20738735
## 127  96.4  53.0120482 0.20864137
## 128  96.4  52.6104418 0.20987513
## 129  96.4  52.2088353 0.21064970
## 130  96.4  51.8072289 0.21145956
## 131  96.4  51.4056225 0.21202509
## 132  96.4  51.0040161 0.21299013
## 133  96.4  50.6024096 0.21429811
## 134  96.4  50.2008032 0.21530405
## 135  96.0  50.2008032 0.21825342
## 136  96.0  49.7991968 0.22095454
## 137  96.0  49.3975904 0.22309641
## 138  96.0  48.9959839 0.22853571
## 139  96.0  48.5943775 0.23349822
## 140  96.0  48.1927711 0.23501404
## 141  95.6  48.1927711 0.23527332
## 142  95.6  47.7911647 0.23552130
## 143  95.2  47.7911647 0.23704991
## 144  95.2  47.3895582 0.23924882
## 145  95.2  46.9879518 0.24175132
## 146  95.2  46.5863454 0.24377227
## 147  95.2  46.1847390 0.24506065
## 148  95.2  45.7831325 0.24604265
## 149  95.2  45.3815261 0.24794233
## 150  95.2  44.9799197 0.25195354
## 151  95.2  44.5783133 0.25539886
## 152  94.8  44.5783133 0.25763615
## 153  94.8  44.1767068 0.25921231
## 154  94.8  43.7751004 0.26103922
## 155  94.8  43.3734940 0.26405047
## 156  94.8  42.9718876 0.26634585
## 157  94.4  42.9718876 0.26783580
## 158  94.4  42.5702811 0.26980071
## 159  94.0  42.5702811 0.27209962
## 160  94.0  42.1686747 0.27428431
## 161  94.0  41.7670683 0.27512444
## 162  94.0  41.3654618 0.27573235
## 163  94.0  40.9638554 0.27650814
## 164  94.0  40.5622490 0.27749334
## 165  93.6  40.5622490 0.27894290
## 166  93.6  40.1606426 0.28241528
## 167  93.6  39.7590361 0.28588753
## 168  93.2  39.7590361 0.28904611
## 169  92.8  39.7590361 0.29297976
## 170  92.8  39.3574297 0.29449600
## 171  92.8  38.9558233 0.29458916
## 172  92.4  38.9558233 0.29683432
## 173  92.0  38.9558233 0.29925407
## 174  91.6  38.9558233 0.30336269
## 175  91.6  38.5542169 0.30973969
## 176  91.6  38.1526104 0.31375603
## 177  91.6  37.7510040 0.31678844
## 178  91.6  37.3493976 0.31972525
## 179  91.6  36.9477912 0.32274621
## 180  91.6  36.5461847 0.32533944
## 181  91.2  36.5461847 0.32808399
## 182  91.2  36.1445783 0.33485295
## 183  91.2  35.7429719 0.34102089
## 184  91.2  35.3413655 0.34325199
## 185  91.2  34.9397590 0.34854114
## 186  90.8  34.9397590 0.35390474
## 187  90.8  34.5381526 0.35727227
## 188  90.4  34.5381526 0.36122821
## 189  90.0  34.5381526 0.36359557
## 190  90.0  34.1365462 0.36421963
## 191  90.0  33.7349398 0.36639110
## 192  90.0  33.3333333 0.36918767
## 193  90.0  32.9317269 0.37028135
## 194  89.6  32.9317269 0.37305166
## 195  89.2  32.9317269 0.37951878
## 196  89.2  32.5301205 0.38402314
## 197  88.8  32.5301205 0.38478010
## 198  88.4  32.5301205 0.38637837
## 199  88.4  32.1285141 0.38834078
## 200  88.0  32.1285141 0.38971179
## 201  88.0  31.7269076 0.39070391
## 202  87.6  31.7269076 0.39125215
## 203  87.2  31.7269076 0.39167342
## 204  86.8  31.7269076 0.39200019
## 205  86.4  31.7269076 0.39317335
## 206  86.0  31.7269076 0.39505925
## 207  85.6  31.7269076 0.39783241
## 208  85.6  31.3253012 0.40070395
## 209  85.2  31.3253012 0.40252445
## 210  85.2  30.9236948 0.40366268
## 211  85.2  30.5220884 0.40425082
## 212  84.8  30.5220884 0.40466080
## 213  84.4  30.5220884 0.40693607
## 214  84.0  30.5220884 0.41360084
## 215  83.6  30.5220884 0.42047536
## 216  83.6  30.1204819 0.42392874
## 217  83.2  30.1204819 0.42609218
## 218  82.8  30.1204819 0.42784925
## 219  82.8  29.7188755 0.42885452
## 220  82.4  29.7188755 0.43006632
## 221  82.4  29.3172691 0.43103216
## 222  82.0  29.3172691 0.43157894
## 223  82.0  28.9156627 0.43216673
## 224  81.6  28.9156627 0.43381240
## 225  81.6  28.5140562 0.43560323
## 226  81.6  28.1124498 0.43726052
## 227  81.2  28.1124498 0.44178914
## 228  81.2  27.7108434 0.44737049
## 229  81.2  27.3092369 0.45437482
## 230  80.8  27.3092369 0.45919029
## 231  80.4  27.3092369 0.46485692
## 232  80.0  27.3092369 0.47069600
## 233  79.6  27.3092369 0.47181525
## 234  79.2  27.3092369 0.47434293
## 235  79.2  26.9076305 0.47628920
## 236  79.2  26.5060241 0.48070146
## 237  79.2  26.1044177 0.48514933
## 238  79.2  25.7028112 0.48552491
## 239  78.8  25.7028112 0.48640377
## 240  78.4  25.7028112 0.48784075
## 241  78.4  25.3012048 0.48975036
## 242  78.4  24.8995984 0.49162026
## 243  78.0  24.8995984 0.49348035
## 244  78.0  24.4979920 0.49636565
## 245  78.0  24.0963855 0.49871950
## 246  77.6  24.0963855 0.50165123
## 247  77.2  24.0963855 0.50590714
## 248  77.2  23.6947791 0.50806663
## 249  77.2  23.2931727 0.50893051
## 250  77.2  22.8915663 0.51077942
## 251  76.8  22.8915663 0.51340238
## 252  76.4  22.8915663 0.51641239
## 253  76.4  22.4899598 0.51896340
## 254  76.0  22.4899598 0.52104286
## 255  75.6  22.4899598 0.52221183
## 256  75.6  22.0883534 0.52289844
## 257  75.6  21.6867470 0.52539068
## 258  75.6  21.2851406 0.52808519
## 259  75.6  20.8835341 0.53146029
## 260  75.2  20.8835341 0.53492547
## 261  75.2  20.4819277 0.53627381
## 262  74.8  20.4819277 0.53710379
## 263  74.8  20.0803213 0.53802350
## 264  74.4  20.0803213 0.54407748
## 265  74.4  19.6787149 0.55045649
## 266  74.0  19.6787149 0.55454394
## 267  73.6  19.6787149 0.55894986
## 268  73.6  19.2771084 0.56183850
## 269  73.6  18.8755020 0.56585513
## 270  73.6  18.4738956 0.57011514
## 271  73.6  18.0722892 0.57218048
## 272  73.2  18.0722892 0.57560002
## 273  72.8  18.0722892 0.58012190
## 274  72.4  18.0722892 0.58233135
## 275  72.0  18.0722892 0.58408055
## 276  72.0  17.6706827 0.58506940
## 277  71.6  17.6706827 0.58544216
## 278  71.6  17.2690763 0.58667347
## 279  71.2  17.2690763 0.58903580
## 280  70.8  17.2690763 0.59370300
## 281  70.8  16.8674699 0.59969820
## 282  70.4  16.8674699 0.60342622
## 283  70.0  16.8674699 0.60505134
## 284  70.0  16.4658635 0.60789217
## 285  69.6  16.4658635 0.61212360
## 286  69.2  16.4658635 0.61416844
## 287  68.8  16.4658635 0.61464623
## 288  68.4  16.4658635 0.61529873
## 289  68.0  16.4658635 0.61564505
## 290  67.6  16.4658635 0.61650643
## 291  67.2  16.4658635 0.61911704
## 292  66.8  16.4658635 0.62278718
## 293  66.4  16.4658635 0.63033026
## 294  66.4  16.0642570 0.63709606
## 295  66.0  16.0642570 0.63870638
## 296  65.6  16.0642570 0.63930196
## 297  65.2  16.0642570 0.63993398
## 298  64.8  16.0642570 0.64068654
## 299  64.4  16.0642570 0.64135846
## 300  64.4  15.6626506 0.64263960
## 301  64.0  15.6626506 0.64492013
## 302  63.6  15.6626506 0.64643269
## 303  63.6  15.2610442 0.64846512
## 304  63.2  15.2610442 0.65239833
## 305  62.8  15.2610442 0.65510681
## 306  62.8  14.8594378 0.65638118
## 307  62.8  14.4578313 0.65885791
## 308  62.8  14.0562249 0.66295723
## 309  62.4  14.0562249 0.66579740
## 310  62.0  14.0562249 0.66816028
## 311  61.6  14.0562249 0.67049799
## 312  61.2  14.0562249 0.67302153
## 313  60.8  14.0562249 0.67535166
## 314  60.8  13.6546185 0.67659820
## 315  60.8  13.2530120 0.68167876
## 316  60.4  13.2530120 0.68673079
## 317  60.4  12.8514056 0.68856241
## 318  60.4  12.4497992 0.69303873
## 319  60.0  12.4497992 0.69981863
## 320  60.0  12.0481928 0.70338181
## 321  59.6  12.0481928 0.70385405
## 322  59.2  12.0481928 0.70449756
## 323  59.2  11.6465863 0.70535843
## 324  58.8  11.6465863 0.70638813
## 325  58.4  11.6465863 0.70707621
## 326  58.0  11.6465863 0.70983965
## 327  57.6  11.6465863 0.71263904
## 328  57.6  11.2449799 0.71311785
## 329  57.6  10.8433735 0.71441629
## 330  57.2  10.8433735 0.71572376
## 331  56.8  10.8433735 0.71724280
## 332  56.4  10.8433735 0.71873282
## 333  56.0  10.8433735 0.72218095
## 334  56.0  10.4417671 0.72864946
## 335  56.0  10.0401606 0.73226357
## 336  55.6  10.0401606 0.73341582
## 337  55.6   9.6385542 0.73707696
## 338  55.6   9.2369478 0.73992990
## 339  55.6   8.8353414 0.73993856
## 340  55.2   8.8353414 0.74040509
## 341  55.2   8.4337349 0.74303720
## 342  54.8   8.4337349 0.74523894
## 343  54.4   8.4337349 0.74550581
## 344  54.4   8.0321285 0.74626022
## 345  54.0   8.0321285 0.74894615
## 346  54.0   7.6305221 0.75133316
## 347  53.6   7.6305221 0.75223331
## 348  53.2   7.6305221 0.75535313
## 349  52.8   7.6305221 0.75821972
## 350  52.4   7.6305221 0.75865438
## 351  52.0   7.6305221 0.75886388
## 352  51.6   7.6305221 0.76045406
## 353  51.2   7.6305221 0.76491971
## 354  50.8   7.6305221 0.76836653
## 355  50.4   7.6305221 0.77189086
## 356  50.0   7.6305221 0.77583436
## 357  50.0   7.2289157 0.77760026
## 358  49.6   7.2289157 0.77882086
## 359  49.6   6.8273092 0.78352531
## 360  49.2   6.8273092 0.78926219
## 361  49.2   6.4257028 0.79074340
## 362  49.2   6.0240964 0.79229560
## 363  48.8   6.0240964 0.79373430
## 364  48.4   6.0240964 0.79403292
## 365  48.0   6.0240964 0.79442748
## 366  48.0   5.6224900 0.79522002
## 367  47.6   5.6224900 0.79594421
## 368  47.2   5.6224900 0.79612799
## 369  46.8   5.6224900 0.79737164
## 370  46.4   5.6224900 0.79928136
## 371  46.0   5.6224900 0.80150536
## 372  45.6   5.6224900 0.80359810
## 373  45.2   5.6224900 0.80422365
## 374  44.8   5.6224900 0.80448919
## 375  44.4   5.6224900 0.80640281
## 376  44.0   5.6224900 0.80934123
## 377  43.6   5.6224900 0.81144237
## 378  43.2   5.6224900 0.81300405
## 379  42.8   5.6224900 0.81380441
## 380  42.4   5.6224900 0.81494540
## 381  42.0   5.6224900 0.81613568
## 382  41.6   5.6224900 0.81659597
## 383  41.6   5.2208835 0.81748492
## 384  41.6   4.8192771 0.81925325
## 385  41.2   4.8192771 0.82157954
## 386  41.2   4.4176707 0.82303156
## 387  40.8   4.4176707 0.82416735
## 388  40.4   4.4176707 0.82516995
## 389  40.0   4.4176707 0.82548890
## 390  39.6   4.4176707 0.82681578
## 391  39.2   4.4176707 0.82810300
## 392  38.8   4.4176707 0.82858684
## 393  38.8   4.0160643 0.83019023
## 394  38.4   4.0160643 0.83151069
## 395  38.0   4.0160643 0.83202586
## 396  37.6   4.0160643 0.83303362
## 397  37.2   4.0160643 0.83524558
## 398  36.8   4.0160643 0.83781897
## 399  36.4   4.0160643 0.83951606
## 400  36.0   4.0160643 0.84041594
## 401  35.6   4.0160643 0.84078306
## 402  35.6   3.6144578 0.84119928
## 403  35.2   3.6144578 0.84160083
## 404  34.8   3.6144578 0.84304213
## 405  34.4   3.6144578 0.84540396
## 406  34.0   3.6144578 0.84651010
## 407  33.6   3.6144578 0.84730090
## 408  33.2   3.6144578 0.84851674
## 409  32.8   3.6144578 0.85030198
## 410  32.8   3.2128514 0.85246779
## 411  32.4   3.2128514 0.85336640
## 412  32.0   3.2128514 0.85406387
## 413  32.0   2.8112450 0.85637765
## 414  31.6   2.8112450 0.85847930
## 415  31.2   2.8112450 0.85979692
## 416  31.2   2.4096386 0.86141023
## 417  30.8   2.4096386 0.86234973
## 418  30.4   2.4096386 0.86261776
## 419  30.0   2.4096386 0.86363460
## 420  29.6   2.4096386 0.86530222
## 421  29.2   2.4096386 0.86705416
## 422  28.8   2.4096386 0.86899330
## 423  28.4   2.4096386 0.87104321
## 424  28.0   2.4096386 0.87265777
## 425  27.6   2.4096386 0.87325595
## 426  27.2   2.4096386 0.87460816
## 427  26.8   2.4096386 0.87607398
## 428  26.4   2.4096386 0.87648760
## 429  26.0   2.4096386 0.87682621
## 430  25.6   2.4096386 0.87737961
## 431  25.2   2.4096386 0.87841304
## 432  24.8   2.4096386 0.87935481
## 433  24.4   2.4096386 0.87995089
## 434  24.0   2.4096386 0.88227574
## 435  23.6   2.4096386 0.88522080
## 436  23.2   2.4096386 0.88666967
## 437  23.2   2.0080321 0.88727205
## 438  22.8   2.0080321 0.88909364
## 439  22.4   2.0080321 0.89080941
## 440  22.0   2.0080321 0.89101984
## 441  21.6   2.0080321 0.89125273
## 442  21.6   1.6064257 0.89128500
## 443  21.2   1.6064257 0.89317967
## 444  20.8   1.6064257 0.89587030
## 445  20.4   1.6064257 0.89715771
## 446  20.0   1.6064257 0.89777386
## 447  19.6   1.6064257 0.89925657
## 448  19.2   1.6064257 0.90141651
## 449  18.8   1.6064257 0.90283631
## 450  18.4   1.6064257 0.90384505
## 451  18.0   1.6064257 0.90440610
## 452  17.6   1.6064257 0.90468769
## 453  17.2   1.6064257 0.90493336
## 454  16.8   1.6064257 0.90521820
## 455  16.4   1.6064257 0.90574760
## 456  16.4   1.2048193 0.90729820
## 457  16.0   1.2048193 0.90940216
## 458  15.6   1.2048193 0.91210618
## 459  15.2   1.2048193 0.91412963
## 460  14.8   1.2048193 0.91552682
## 461  14.4   1.2048193 0.91687499
## 462  14.0   1.2048193 0.91912625
## 463  13.6   1.2048193 0.92138322
## 464  13.2   1.2048193 0.92264114
## 465  12.8   1.2048193 0.92412378
## 466  12.4   1.2048193 0.92601921
## 467  12.0   1.2048193 0.92881795
## 468  11.6   1.2048193 0.93026290
## 469  11.2   1.2048193 0.93151224
## 470  10.8   1.2048193 0.93321934
## 471  10.4   1.2048193 0.93543001
## 472  10.0   1.2048193 0.93739440
## 473   9.6   1.2048193 0.93834339
## 474   9.2   1.2048193 0.93943871
## 475   8.8   1.2048193 0.94067212
## 476   8.4   1.2048193 0.94237114
## 477   8.0   1.2048193 0.94373593
## 478   7.6   1.2048193 0.94491678
## 479   7.2   1.2048193 0.94614698
## 480   6.8   1.2048193 0.94942243
## 481   6.4   1.2048193 0.95254116
## 482   6.0   1.2048193 0.95432933
## 483   5.6   1.2048193 0.95586666
## 484   5.2   1.2048193 0.95797478
## 485   5.2   0.8032129 0.96045390
## 486   4.8   0.8032129 0.96197381
## 487   4.4   0.8032129 0.96545269
## 488   4.4   0.4016064 0.96875574
## 489   4.0   0.4016064 0.97095436
## 490   3.6   0.4016064 0.97236587
## 491   3.2   0.4016064 0.97249995
## 492   2.8   0.4016064 0.97272818
## 493   2.4   0.4016064 0.97329910
## 494   2.0   0.4016064 0.97385008
## 495   2.0   0.0000000 0.97654097
## 496   1.6   0.0000000 0.97944035
## 497   1.2   0.0000000 0.98070412
## 498   0.8   0.0000000 0.98457272
## 499   0.4   0.0000000 0.98845958
## 500   0.0   0.0000000        Inf
head(roc.df) 
##   tpp       fpp thresholds
## 1 100 100.00000       -Inf
## 2 100  99.59839 0.01027357
## 3 100  99.19679 0.01153701
## 4 100  98.79518 0.01191248
## 5 100  98.39357 0.01269540
## 6 100  97.99197 0.01500362
## head() will show us the values for the upper right-hand corner of the ROC graph, when the threshold is so low
## (negative infinity) that every single sample is called "obese".
## Thus TPP = 100% and FPP = 100%
tail(roc.df) 
##     tpp fpp thresholds
## 495 2.0   0  0.9765410
## 496 1.6   0  0.9794403
## 497 1.2   0  0.9807041
## 498 0.8   0  0.9845727
## 499 0.4   0  0.9884596
## 500 0.0   0        Inf
## tail() will show us the values for the lower left-hand corner
## of the ROC graph, when the threshold is so high (infinity)
## that every single sample is called "not obese".
## Thus, TPP = 0% and FPP = 0%
## now let's look at the thresholds between TPP 60% and 80%
roc.df[roc.df$tpp > 60 & roc.df$tpp < 80,]
##      tpp      fpp thresholds
## 233 79.6 27.30924  0.4718152
## 234 79.2 27.30924  0.4743429
## 235 79.2 26.90763  0.4762892
## 236 79.2 26.50602  0.4807015
## 237 79.2 26.10442  0.4851493
## 238 79.2 25.70281  0.4855249
## 239 78.8 25.70281  0.4864038
## 240 78.4 25.70281  0.4878408
## 241 78.4 25.30120  0.4897504
## 242 78.4 24.89960  0.4916203
## 243 78.0 24.89960  0.4934804
## 244 78.0 24.49799  0.4963657
## 245 78.0 24.09639  0.4987195
## 246 77.6 24.09639  0.5016512
## 247 77.2 24.09639  0.5059071
## 248 77.2 23.69478  0.5080666
## 249 77.2 23.29317  0.5089305
## 250 77.2 22.89157  0.5107794
## 251 76.8 22.89157  0.5134024
## 252 76.4 22.89157  0.5164124
## 253 76.4 22.48996  0.5189634
## 254 76.0 22.48996  0.5210429
## 255 75.6 22.48996  0.5222118
## 256 75.6 22.08835  0.5228984
## 257 75.6 21.68675  0.5253907
## 258 75.6 21.28514  0.5280852
## 259 75.6 20.88353  0.5314603
## 260 75.2 20.88353  0.5349255
## 261 75.2 20.48193  0.5362738
## 262 74.8 20.48193  0.5371038
## 263 74.8 20.08032  0.5380235
## 264 74.4 20.08032  0.5440775
## 265 74.4 19.67871  0.5504565
## 266 74.0 19.67871  0.5545439
## 267 73.6 19.67871  0.5589499
## 268 73.6 19.27711  0.5618385
## 269 73.6 18.87550  0.5658551
## 270 73.6 18.47390  0.5701151
## 271 73.6 18.07229  0.5721805
## 272 73.2 18.07229  0.5756000
## 273 72.8 18.07229  0.5801219
## 274 72.4 18.07229  0.5823314
## 275 72.0 18.07229  0.5840805
## 276 72.0 17.67068  0.5850694
## 277 71.6 17.67068  0.5854422
## 278 71.6 17.26908  0.5866735
## 279 71.2 17.26908  0.5890358
## 280 70.8 17.26908  0.5937030
## 281 70.8 16.86747  0.5996982
## 282 70.4 16.86747  0.6034262
## 283 70.0 16.86747  0.6050513
## 284 70.0 16.46586  0.6078922
## 285 69.6 16.46586  0.6121236
## 286 69.2 16.46586  0.6141684
## 287 68.8 16.46586  0.6146462
## 288 68.4 16.46586  0.6152987
## 289 68.0 16.46586  0.6156451
## 290 67.6 16.46586  0.6165064
## 291 67.2 16.46586  0.6191170
## 292 66.8 16.46586  0.6227872
## 293 66.4 16.46586  0.6303303
## 294 66.4 16.06426  0.6370961
## 295 66.0 16.06426  0.6387064
## 296 65.6 16.06426  0.6393020
## 297 65.2 16.06426  0.6399340
## 298 64.8 16.06426  0.6406865
## 299 64.4 16.06426  0.6413585
## 300 64.4 15.66265  0.6426396
## 301 64.0 15.66265  0.6449201
## 302 63.6 15.66265  0.6464327
## 303 63.6 15.26104  0.6484651
## 304 63.2 15.26104  0.6523983
## 305 62.8 15.26104  0.6551068
## 306 62.8 14.85944  0.6563812
## 307 62.8 14.45783  0.6588579
## 308 62.8 14.05622  0.6629572
## 309 62.4 14.05622  0.6657974
## 310 62.0 14.05622  0.6681603
## 311 61.6 14.05622  0.6704980
## 312 61.2 14.05622  0.6730215
## 313 60.8 14.05622  0.6753517
## 314 60.8 13.65462  0.6765982
## 315 60.8 13.25301  0.6816788
## 316 60.4 13.25301  0.6867308
## 317 60.4 12.85141  0.6885624
## 318 60.4 12.44980  0.6930387
roc(data$Diabetes_binary,logistic$fitted.values,plot=TRUE, legacy.axes=TRUE, xlab="False Positive Percentage", ylab="True Postive Percentage", col="#377eb8", lwd=4, percent=TRUE)
## Setting levels: control = 0, case = 1
## Setting direction: controls < cases

## 
## Call:
## roc.default(response = data$Diabetes_binary, predictor = logistic$fitted.values,     percent = TRUE, plot = TRUE, legacy.axes = TRUE, xlab = "False Positive Percentage",     ylab = "True Postive Percentage", col = "#377eb8", lwd = 4)
## 
## Data: logistic$fitted.values in 249 controls (data$Diabetes_binary 0) < 250 cases (data$Diabetes_binary 1).
## Area under the curve: 86.06%
roc(data$Diabetes_binary,logistic$fitted.values,plot=TRUE, legacy.axes=TRUE, xlab="False Positive Percentage", ylab="True Postive Percentage", col="#377eb8", lwd=4, percent=TRUE, print.auc=TRUE)
## Setting levels: control = 0, case = 1
## Setting direction: controls < cases

## 
## Call:
## roc.default(response = data$Diabetes_binary, predictor = logistic$fitted.values,     percent = TRUE, plot = TRUE, legacy.axes = TRUE, xlab = "False Positive Percentage",     ylab = "True Postive Percentage", col = "#377eb8", lwd = 4,     print.auc = TRUE)
## 
## Data: logistic$fitted.values in 249 controls (data$Diabetes_binary 0) < 250 cases (data$Diabetes_binary 1).
## Area under the curve: 86.06%
roc(data$Diabetes_binary,logistic$fitted.values,plot=TRUE, legacy.axes=TRUE, xlab="False Positive Percentage", ylab="True Postive Percentage", col="#377eb8", lwd=4, percent=TRUE, print.auc=TRUE, partial.auc=c(100, 90), auc.polygon = TRUE, auc.polygon.col = "#377eb822", print.auc.x=45)
## Setting levels: control = 0, case = 1
## Setting direction: controls < cases

## 
## Call:
## roc.default(response = data$Diabetes_binary, predictor = logistic$fitted.values,     percent = TRUE, plot = TRUE, legacy.axes = TRUE, xlab = "False Positive Percentage",     ylab = "True Postive Percentage", col = "#377eb8", lwd = 4,     print.auc = TRUE, partial.auc = c(100, 90), auc.polygon = TRUE,     auc.polygon.col = "#377eb822", print.auc.x = 45)
## 
## Data: logistic$fitted.values in 249 controls (data$Diabetes_binary 0) < 250 cases (data$Diabetes_binary 1).
## Partial area under the curve (specificity 100%-90%): 3.769%
# Lets do two roc plots to understand which model is better
roc(data$Diabetes_binary, logistic_simple$fitted.values, plot=TRUE, legacy.axes=TRUE, percent=TRUE, xlab="False Positive Percentage", ylab="True Postive Percentage", col="#377eb8", lwd=4, print.auc=TRUE)
## Setting levels: control = 0, case = 1
## Setting direction: controls < cases
## 
## Call:
## roc.default(response = data$Diabetes_binary, predictor = logistic_simple$fitted.values,     percent = TRUE, plot = TRUE, legacy.axes = TRUE, xlab = "False Positive Percentage",     ylab = "True Postive Percentage", col = "#377eb8", lwd = 4,     print.auc = TRUE)
## 
## Data: logistic_simple$fitted.values in 249 controls (data$Diabetes_binary 0) < 250 cases (data$Diabetes_binary 1).
## Area under the curve: 69.8%
# Lets add the other graph
plot.roc(data$Diabetes_binary, logistic$fitted.values, percent=TRUE, col="#4daf4a", lwd=4, print.auc=TRUE, add=TRUE, print.auc.y=40)
## Setting levels: control = 0, case = 1
## Setting direction: controls < cases
legend("bottomright", legend=c("Simple", "Non Simple"), col=c("#377eb8", "#4daf4a"), lwd=4) 

Inference regarding Logistic Regression

Scatter plot

library(ggplot2)
library(lattice)
library(ggridges)
## Warning: package 'ggridges' was built under R version 4.2.2
library(ggvis)
## Warning: package 'ggvis' was built under R version 4.2.2
## 
## Attaching package: 'ggvis'
## The following object is masked from 'package:ggplot2':
## 
##     resolution
library(ggthemes)
## Warning: package 'ggthemes' was built under R version 4.2.2
## 
## Attaching package: 'ggthemes'
## The following object is masked from 'package:cowplot':
## 
##     theme_map
library(cowplot)
library(gapminder)
## Warning: package 'gapminder' was built under R version 4.2.2
library(gganimate)
## Warning: package 'gganimate' was built under R version 4.2.2
## No renderer backend detected. gganimate will default to writing frames to separate files
## Consider installing:
## - the `gifski` package for gif output
## - the `av` package for video output
## and restarting the R session
## 
## Attaching package: 'gganimate'
## The following object is masked from 'package:ggvis':
## 
##     view_static
library(dplyr)
## Warning: package 'dplyr' was built under R version 4.2.2
## 
## Attaching package: 'dplyr'
## The following objects are masked from 'package:stats':
## 
##     filter, lag
## The following objects are masked from 'package:base':
## 
##     intersect, setdiff, setequal, union
library(tidyverse)
## Warning: package 'tidyverse' was built under R version 4.2.2
## ── Attaching packages ─────────────────────────────────────── tidyverse 1.3.2
## ──
## ✔ tibble  3.1.8     ✔ stringr 1.5.0
## ✔ tidyr   1.3.0     ✔ forcats 1.0.0
## ✔ purrr   1.0.1
## Warning: package 'tibble' was built under R version 4.2.2
## Warning: package 'tidyr' was built under R version 4.2.2
## Warning: package 'purrr' was built under R version 4.2.2
## Warning: package 'stringr' was built under R version 4.2.2
## Warning: package 'forcats' was built under R version 4.2.2
## ── Conflicts ────────────────────────────────────────── tidyverse_conflicts() ──
## ✖ psych::%+%()        masks ggplot2::%+%()
## ✖ psych::alpha()      masks ggplot2::alpha()
## ✖ dplyr::filter()     masks stats::filter()
## ✖ dplyr::lag()        masks stats::lag()
## ✖ purrr::lift()       masks caret::lift()
## ✖ ggvis::resolution() masks ggplot2::resolution()
library(grid)
library(gridExtra)
## Warning: package 'gridExtra' was built under R version 4.2.2
## 
## Attaching package: 'gridExtra'
## 
## The following object is masked from 'package:dplyr':
## 
##     combine
library(RColorBrewer)
library(readr)
Diabetes <- read_csv("C:/Users/vidhi/Downloads/Diabetes.csv")
## Rows: 499 Columns: 16
## ── Column specification ────────────────────────────────────────────────────────
## Delimiter: ","
## dbl (16): Diabetes_binary, HighBP, BMI, Smoker, Stroke, HeartDiseaseorAttack...
## 
## ℹ Use `spec()` to retrieve the full column specification for this data.
## ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.
ggplot(Diabetes, aes(x=Smoker,y=PhysActivity))+geom_point(aes(color=Diabetes_binary)) 

ggplot(Diabetes, aes(x=BMI,y=HeartDiseaseorAttack))+geom_point(aes(color=Sex)) 

ggplot(Diabetes, aes(x=HvyAlcoholConsump,y=HeartDiseaseorAttack)) + facet_wrap(~GenHlth) + geom_point(aes(color=Diabetes_binary))

# Histogram

ggplot(Diabetes, aes(HeartDiseaseorAttack))+geom_histogram(fill='pink', color='white',bins=10)

ggplot(Diabetes, aes(GenHlth))+geom_histogram(aes(fill=after_stat(count)))
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.

ggplot(Diabetes, aes(x=HeartDiseaseorAttack, fill=Diabetes_binary)) + geom_bar()+theme_bw()
## Warning: The following aesthetics were dropped during statistical transformation: fill
## ℹ This can happen when ggplot fails to infer the correct grouping structure in
##   the data.
## ℹ Did you forget to specify a `group` aesthetic or to convert a numerical
##   variable into a factor?

ggplot(Diabetes, aes(HeartDiseaseorAttack))+ geom_bar(position="stack", fill='lightblue') 

ggplot(Diabetes, aes(Income)) + facet_grid(.~Diabetes_binary) + geom_bar(position="dodge",fill='lightblue')

ggplot(Diabetes, aes(Sex)) + facet_grid(.~Diabetes_binary) + geom_bar(position="dodge")+scale_fill_manual(values=c("blue", "pink"), name="Sex", labels=c("Male", "Female"))

# Regression

ggplot(Diabetes, aes(x=Income,y=Diabetes_binary))+geom_point()+ geom_smooth(method=lm,se= FALSE)
## `geom_smooth()` using formula = 'y ~ x'

ggplot(Diabetes, aes(x=Age,y=Diabetes_binary)) + geom_point() + stat_smooth()
## `geom_smooth()` using method = 'loess' and formula = 'y ~ x'

# Violin plot

ggplot(Diabetes, aes(x=Diabetes_binary,y=Age)) + geom_violin()

ggplot(Diabetes, aes(x=Diabetes_binary,y=Sex)) + geom_violin()

ggplot(Diabetes, aes(x=Diabetes_binary,y=Income)) + geom_violin()

ggplot(Diabetes, aes(x=Diabetes_binary,y=HeartDiseaseorAttack)) + geom_violin()

ggplot(Diabetes, aes(x=Diabetes_binary,y=MentHlth)) + geom_violin()

# box plot

ggplot(Diabetes, aes(x=Age,y=Income)) + geom_boxplot()
## Warning: Continuous x aesthetic
## ℹ did you forget `aes(group = ...)`?

ggplot(Diabetes, aes(x=BMI,y=Age)) + geom_boxplot() + coord_flip()
## Warning: Continuous x aesthetic
## ℹ did you forget `aes(group = ...)`?

# density plot and ggridges

ggplot(Diabetes, aes(x=BMI)) + geom_density() 

ggplot(Diabetes, aes(x=Age, fill=Diabetes_binary)) + geom_density() 
## Warning: The following aesthetics were dropped during statistical transformation: fill
## ℹ This can happen when ggplot fails to infer the correct grouping structure in
##   the data.
## ℹ Did you forget to specify a `group` aesthetic or to convert a numerical
##   variable into a factor?

ggplot(Diabetes, aes(x=Income, fill=Diabetes_binary)) + geom_density() 
## Warning: The following aesthetics were dropped during statistical transformation: fill
## ℹ This can happen when ggplot fails to infer the correct grouping structure in
##   the data.
## ℹ Did you forget to specify a `group` aesthetic or to convert a numerical
##   variable into a factor?

ggplot(Diabetes, aes(x=Education, fill=Diabetes_binary)) + geom_density(alpha=0.3, aes(y=after_stat(scaled))) 
## Warning: The following aesthetics were dropped during statistical transformation: fill
## ℹ This can happen when ggplot fails to infer the correct grouping structure in
##   the data.
## ℹ Did you forget to specify a `group` aesthetic or to convert a numerical
##   variable into a factor?

ggplot(Diabetes, aes(x=AnyHealthcare)) + geom_density(color='blue') 

# hexbin

ggplot(Diabetes, aes(x=Diabetes_binary, y=PhysHlth)) + geom_hex()

# Inference regarding Scatter plot